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Finding the Fourth Proportional to 99.68, 149.46 and 38.74

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Solution

The fourth proportional to 99.68, 149.46 and 38.74 is: 58.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.68 : 149.46 = 38.74 : x
  2. Step 2: Convert to fraction form
    99.68/149.46 = 38.74/x
  3. Step 3: Cross multiply
    99.68x = 149.46 × 38.74
  4. Step 4: Simplify right side
    99.68x = 5,789.24
  5. Step 5: Solve for x
    x = 5,789.24/99.68
  6. Step 6: Final answer
    x = 58.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.