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Finding the Fourth Proportional to 83.49, 115.23 and 55.91

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Solution

The fourth proportional to 83.49, 115.23 and 55.91 is: 77.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.49 : 115.23 = 55.91 : x
  2. Step 2: Convert to fraction form
    83.49/115.23 = 55.91/x
  3. Step 3: Cross multiply
    83.49x = 115.23 × 55.91
  4. Step 4: Simplify right side
    83.49x = 6,442.14
  5. Step 5: Solve for x
    x = 6,442.14/83.49
  6. Step 6: Final answer
    x = 77.16

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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.