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Finding the Fourth Proportional to 99.59, 150.05 and 82.61

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Solution

The fourth proportional to 99.59, 150.05 and 82.61 is: 124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.59 : 150.05 = 82.61 : x
  2. Step 2: Convert to fraction form
    99.59/150.05 = 82.61/x
  3. Step 3: Cross multiply
    99.59x = 150.05 × 82.61
  4. Step 4: Simplify right side
    99.59x = 12,396.29
  5. Step 5: Solve for x
    x = 12,396.29/99.59
  6. Step 6: Final answer
    x = 124.47

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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.