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Finding the Fourth Proportional to 24.67, 34 and 20.02

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Solution

The fourth proportional to 24.67, 34 and 20.02 is: 27.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.67 : 34 = 20.02 : x
  2. Step 2: Convert to fraction form
    24.67/34 = 20.02/x
  3. Step 3: Cross multiply
    24.67x = 34 × 20.02
  4. Step 4: Simplify right side
    24.67x = 680.68
  5. Step 5: Solve for x
    x = 680.68/24.67
  6. Step 6: Final answer
    x = 27.59

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.