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Finding the Fourth Proportional to 91.62, 136.54 and 91.17

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Solution

The fourth proportional to 91.62, 136.54 and 91.17 is: 135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.62 : 136.54 = 91.17 : x
  2. Step 2: Convert to fraction form
    91.62/136.54 = 91.17/x
  3. Step 3: Cross multiply
    91.62x = 136.54 × 91.17
  4. Step 4: Simplify right side
    91.62x = 12,448.12
  5. Step 5: Solve for x
    x = 12,448.12/91.62
  6. Step 6: Final answer
    x = 135.87

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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.