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Finding the Fourth Proportional to 77.69, 115.92 and 66.15

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Solution

The fourth proportional to 77.69, 115.92 and 66.15 is: 98.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.69 : 115.92 = 66.15 : x
  2. Step 2: Convert to fraction form
    77.69/115.92 = 66.15/x
  3. Step 3: Cross multiply
    77.69x = 115.92 × 66.15
  4. Step 4: Simplify right side
    77.69x = 7,668.11
  5. Step 5: Solve for x
    x = 7,668.11/77.69
  6. Step 6: Final answer
    x = 98.70

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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.