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Finding the Fourth Proportional to 80.52, 111.16 and 52.53

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Solution

The fourth proportional to 80.52, 111.16 and 52.53 is: 72.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.52 : 111.16 = 52.53 : x
  2. Step 2: Convert to fraction form
    80.52/111.16 = 52.53/x
  3. Step 3: Cross multiply
    80.52x = 111.16 × 52.53
  4. Step 4: Simplify right side
    80.52x = 5,838.59
  5. Step 5: Solve for x
    x = 5,838.59/80.52
  6. Step 6: Final answer
    x = 72.51

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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.