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Finding the Fourth Proportional to 91.52, 136.61 and 77.84

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Solution

The fourth proportional to 91.52, 136.61 and 77.84 is: 116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.52 : 136.61 = 77.84 : x
  2. Step 2: Convert to fraction form
    91.52/136.61 = 77.84/x
  3. Step 3: Cross multiply
    91.52x = 136.61 × 77.84
  4. Step 4: Simplify right side
    91.52x = 10,633.72
  5. Step 5: Solve for x
    x = 10,633.72/91.52
  6. Step 6: Final answer
    x = 116.20

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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.