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Finding the Fourth Proportional to 139.67, 209.59 and 58.52

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Solution

The fourth proportional to 139.67, 209.59 and 58.52 is: 87.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.67 : 209.59 = 58.52 : x
  2. Step 2: Convert to fraction form
    139.67/209.59 = 58.52/x
  3. Step 3: Cross multiply
    139.67x = 209.59 × 58.52
  4. Step 4: Simplify right side
    139.67x = 12,265.58
  5. Step 5: Solve for x
    x = 12,265.58/139.67
  6. Step 6: Final answer
    x = 87.82

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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.