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Finding the Fourth Proportional to 91.18, 136.50 and 76.66

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Solution

The fourth proportional to 91.18, 136.50 and 76.66 is: 114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.18 : 136.50 = 76.66 : x
  2. Step 2: Convert to fraction form
    91.18/136.50 = 76.66/x
  3. Step 3: Cross multiply
    91.18x = 136.50 × 76.66
  4. Step 4: Simplify right side
    91.18x = 10,464.09
  5. Step 5: Solve for x
    x = 10,464.09/91.18
  6. Step 6: Final answer
    x = 114.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.