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Finding the Fourth Proportional to 52.55, 72.49 and 34.10

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Solution

The fourth proportional to 52.55, 72.49 and 34.10 is: 47.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.55 : 72.49 = 34.10 : x
  2. Step 2: Convert to fraction form
    52.55/72.49 = 34.10/x
  3. Step 3: Cross multiply
    52.55x = 72.49 × 34.10
  4. Step 4: Simplify right side
    52.55x = 2,471.91
  5. Step 5: Solve for x
    x = 2,471.91/52.55
  6. Step 6: Final answer
    x = 47.04

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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.