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Finding the Fourth Proportional to 91.66, 136.85 and 78.14

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Solution

The fourth proportional to 91.66, 136.85 and 78.14 is: 116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.66 : 136.85 = 78.14 : x
  2. Step 2: Convert to fraction form
    91.66/136.85 = 78.14/x
  3. Step 3: Cross multiply
    91.66x = 136.85 × 78.14
  4. Step 4: Simplify right side
    91.66x = 10,693.46
  5. Step 5: Solve for x
    x = 10,693.46/91.66
  6. Step 6: Final answer
    x = 116.66

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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.