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Finding the Fourth Proportional to 139.55, 209.15 and 71.10

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Solution

The fourth proportional to 139.55, 209.15 and 71.10 is: 106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.55 : 209.15 = 71.10 : x
  2. Step 2: Convert to fraction form
    139.55/209.15 = 71.10/x
  3. Step 3: Cross multiply
    139.55x = 209.15 × 71.10
  4. Step 4: Simplify right side
    139.55x = 14,869.52
  5. Step 5: Solve for x
    x = 14,869.52/139.55
  6. Step 6: Final answer
    x = 106.55

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