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Finding the Fourth Proportional to 139.97, 209.84 and 71.46

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Solution

The fourth proportional to 139.97, 209.84 and 71.46 is: 107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.97 : 209.84 = 71.46 : x
  2. Step 2: Convert to fraction form
    139.97/209.84 = 71.46/x
  3. Step 3: Cross multiply
    139.97x = 209.84 × 71.46
  4. Step 4: Simplify right side
    139.97x = 14,994.81
  5. Step 5: Solve for x
    x = 14,994.81/139.97
  6. Step 6: Final answer
    x = 107.13

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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.