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Finding the Fourth Proportional to 91.92, 137.14 and 78.24

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Solution

The fourth proportional to 91.92, 137.14 and 78.24 is: 116.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.92 : 137.14 = 78.24 : x
  2. Step 2: Convert to fraction form
    91.92/137.14 = 78.24/x
  3. Step 3: Cross multiply
    91.92x = 137.14 × 78.24
  4. Step 4: Simplify right side
    91.92x = 10,729.83
  5. Step 5: Solve for x
    x = 10,729.83/91.92
  6. Step 6: Final answer
    x = 116.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.