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Finding the Fourth Proportional to 24.76, 34 and 23

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Solution

The fourth proportional to 24.76, 34 and 23 is: 31.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.76 : 34 = 23 : x
  2. Step 2: Convert to fraction form
    24.76/34 = 23/x
  3. Step 3: Cross multiply
    24.76x = 34 × 23
  4. Step 4: Simplify right side
    24.76x = 782
  5. Step 5: Solve for x
    x = 782/24.76
  6. Step 6: Final answer
    x = 31.58

Related Problems

Find fourth proportional to 12.38, 17 and 11.50
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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.