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Finding the Fourth Proportional to 74.28, 102.52 and 52.18

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Solution

The fourth proportional to 74.28, 102.52 and 52.18 is: 72.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.28 : 102.52 = 52.18 : x
  2. Step 2: Convert to fraction form
    74.28/102.52 = 52.18/x
  3. Step 3: Cross multiply
    74.28x = 102.52 × 52.18
  4. Step 4: Simplify right side
    74.28x = 5,349.49
  5. Step 5: Solve for x
    x = 5,349.49/74.28
  6. Step 6: Final answer
    x = 72.02

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