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Finding the Fourth Proportional to 83.80, 115.59 and 65.14

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Solution

The fourth proportional to 83.80, 115.59 and 65.14 is: 89.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.80 : 115.59 = 65.14 : x
  2. Step 2: Convert to fraction form
    83.80/115.59 = 65.14/x
  3. Step 3: Cross multiply
    83.80x = 115.59 × 65.14
  4. Step 4: Simplify right side
    83.80x = 7,529.53
  5. Step 5: Solve for x
    x = 7,529.53/83.80
  6. Step 6: Final answer
    x = 89.85

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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.