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Finding the Fourth Proportional to 74.13, 102.38 and 52.40

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Solution

The fourth proportional to 74.13, 102.38 and 52.40 is: 72.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.13 : 102.38 = 52.40 : x
  2. Step 2: Convert to fraction form
    74.13/102.38 = 52.40/x
  3. Step 3: Cross multiply
    74.13x = 102.38 × 52.40
  4. Step 4: Simplify right side
    74.13x = 5,363.94
  5. Step 5: Solve for x
    x = 5,363.94/74.13
  6. Step 6: Final answer
    x = 72.36

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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.