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Finding the Fourth Proportional to 91.09, 136.40 and 77.52

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Solution

The fourth proportional to 91.09, 136.40 and 77.52 is: 116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.09 : 136.40 = 77.52 : x
  2. Step 2: Convert to fraction form
    91.09/136.40 = 77.52/x
  3. Step 3: Cross multiply
    91.09x = 136.40 × 77.52
  4. Step 4: Simplify right side
    91.09x = 10,573.73
  5. Step 5: Solve for x
    x = 10,573.73/91.09
  6. Step 6: Final answer
    x = 116.09

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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.