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Finding the Fourth Proportional to 139.48, 209.04 and 101.09

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Solution

The fourth proportional to 139.48, 209.04 and 101.09 is: 151.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.48 : 209.04 = 101.09 : x
  2. Step 2: Convert to fraction form
    139.48/209.04 = 101.09/x
  3. Step 3: Cross multiply
    139.48x = 209.04 × 101.09
  4. Step 4: Simplify right side
    139.48x = 21,132.46
  5. Step 5: Solve for x
    x = 21,132.46/139.48
  6. Step 6: Final answer
    x = 151.51

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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.