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Finding the Fourth Proportional to 80.61, 121.14 and 75.14

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Solution

The fourth proportional to 80.61, 121.14 and 75.14 is: 112.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.61 : 121.14 = 75.14 : x
  2. Step 2: Convert to fraction form
    80.61/121.14 = 75.14/x
  3. Step 3: Cross multiply
    80.61x = 121.14 × 75.14
  4. Step 4: Simplify right side
    80.61x = 9,102.46
  5. Step 5: Solve for x
    x = 9,102.46/80.61
  6. Step 6: Final answer
    x = 112.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.