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Finding the Fourth Proportional to 84, 115.87 and 77.47

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Solution

The fourth proportional to 84, 115.87 and 77.47 is: 106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84 : 115.87 = 77.47 : x
  2. Step 2: Convert to fraction form
    84/115.87 = 77.47/x
  3. Step 3: Cross multiply
    84x = 115.87 × 77.47
  4. Step 4: Simplify right side
    84x = 8,976.45
  5. Step 5: Solve for x
    x = 8,976.45/84
  6. Step 6: Final answer
    x = 106.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.