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Finding the Fourth Proportional to 37.71, 52.02 and 24.75

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Solution

The fourth proportional to 37.71, 52.02 and 24.75 is: 34.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.71 : 52.02 = 24.75 : x
  2. Step 2: Convert to fraction form
    37.71/52.02 = 24.75/x
  3. Step 3: Cross multiply
    37.71x = 52.02 × 24.75
  4. Step 4: Simplify right side
    37.71x = 1,287.50
  5. Step 5: Solve for x
    x = 1,287.50/37.71
  6. Step 6: Final answer
    x = 34.14

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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.