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Finding the Fourth Proportional to 91.68, 136.77 and 77.92

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Solution

The fourth proportional to 91.68, 136.77 and 77.92 is: 116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.68 : 136.77 = 77.92 : x
  2. Step 2: Convert to fraction form
    91.68/136.77 = 77.92/x
  3. Step 3: Cross multiply
    91.68x = 136.77 × 77.92
  4. Step 4: Simplify right side
    91.68x = 10,657.12
  5. Step 5: Solve for x
    x = 10,657.12/91.68
  6. Step 6: Final answer
    x = 116.24

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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.