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Finding the Fourth Proportional to 99.06, 149.16 and 81.87

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Solution

The fourth proportional to 99.06, 149.16 and 81.87 is: 123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.06 : 149.16 = 81.87 : x
  2. Step 2: Convert to fraction form
    99.06/149.16 = 81.87/x
  3. Step 3: Cross multiply
    99.06x = 149.16 × 81.87
  4. Step 4: Simplify right side
    99.06x = 12,211.73
  5. Step 5: Solve for x
    x = 12,211.73/99.06
  6. Step 6: Final answer
    x = 123.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.