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Finding the Fourth Proportional to 111.96, 154.49 and 62.83

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Solution

The fourth proportional to 111.96, 154.49 and 62.83 is: 86.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.96 : 154.49 = 62.83 : x
  2. Step 2: Convert to fraction form
    111.96/154.49 = 62.83/x
  3. Step 3: Cross multiply
    111.96x = 154.49 × 62.83
  4. Step 4: Simplify right side
    111.96x = 9,706.61
  5. Step 5: Solve for x
    x = 9,706.61/111.96
  6. Step 6: Final answer
    x = 86.70

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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.