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Finding the Fourth Proportional to 139.85, 209.84 and 99.08

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Solution

The fourth proportional to 139.85, 209.84 and 99.08 is: 148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.85 : 209.84 = 99.08 : x
  2. Step 2: Convert to fraction form
    139.85/209.84 = 99.08/x
  3. Step 3: Cross multiply
    139.85x = 209.84 × 99.08
  4. Step 4: Simplify right side
    139.85x = 20,789.40
  5. Step 5: Solve for x
    x = 20,789.40/139.85
  6. Step 6: Final answer
    x = 148.66

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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.