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Finding the Fourth Proportional to 52.92, 73.10 and 38.45

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Solution

The fourth proportional to 52.92, 73.10 and 38.45 is: 53.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.92 : 73.10 = 38.45 : x
  2. Step 2: Convert to fraction form
    52.92/73.10 = 38.45/x
  3. Step 3: Cross multiply
    52.92x = 73.10 × 38.45
  4. Step 4: Simplify right side
    52.92x = 2,810.97
  5. Step 5: Solve for x
    x = 2,810.97/52.92
  6. Step 6: Final answer
    x = 53.12

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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.