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Finding the Fourth Proportional to 99.27, 148.23 and 82.89

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Solution

The fourth proportional to 99.27, 148.23 and 82.89 is: 123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.27 : 148.23 = 82.89 : x
  2. Step 2: Convert to fraction form
    99.27/148.23 = 82.89/x
  3. Step 3: Cross multiply
    99.27x = 148.23 × 82.89
  4. Step 4: Simplify right side
    99.27x = 12,286.78
  5. Step 5: Solve for x
    x = 12,286.78/99.27
  6. Step 6: Final answer
    x = 123.77

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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.