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Finding the Fourth Proportional to 24, 32.91 and 23.69

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Solution

The fourth proportional to 24, 32.91 and 23.69 is: 32.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24 : 32.91 = 23.69 : x
  2. Step 2: Convert to fraction form
    24/32.91 = 23.69/x
  3. Step 3: Cross multiply
    24x = 32.91 × 23.69
  4. Step 4: Simplify right side
    24x = 779.47
  5. Step 5: Solve for x
    x = 779.47/24
  6. Step 6: Final answer
    x = 32.48

Related Problems

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Double scale
Find fourth proportional to 25, 34.28 and 24.69
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.