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Finding the Fourth Proportional to 91.59, 136.85 and 65.77

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Solution

The fourth proportional to 91.59, 136.85 and 65.77 is: 98.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.59 : 136.85 = 65.77 : x
  2. Step 2: Convert to fraction form
    91.59/136.85 = 65.77/x
  3. Step 3: Cross multiply
    91.59x = 136.85 × 65.77
  4. Step 4: Simplify right side
    91.59x = 9,000.62
  5. Step 5: Solve for x
    x = 9,000.62/91.59
  6. Step 6: Final answer
    x = 98.27

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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.