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Finding the Fourth Proportional to 80.53, 111.17 and 53.95

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Solution

The fourth proportional to 80.53, 111.17 and 53.95 is: 74.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.53 : 111.17 = 53.95 : x
  2. Step 2: Convert to fraction form
    80.53/111.17 = 53.95/x
  3. Step 3: Cross multiply
    80.53x = 111.17 × 53.95
  4. Step 4: Simplify right side
    80.53x = 5,997.35
  5. Step 5: Solve for x
    x = 5,997.35/80.53
  6. Step 6: Final answer
    x = 74.47

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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.