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Finding the Fourth Proportional to 139.58, 209.36 and 58.46

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Solution

The fourth proportional to 139.58, 209.36 and 58.46 is: 87.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.58 : 209.36 = 58.46 : x
  2. Step 2: Convert to fraction form
    139.58/209.36 = 58.46/x
  3. Step 3: Cross multiply
    139.58x = 209.36 × 58.46
  4. Step 4: Simplify right side
    139.58x = 12,238.89
  5. Step 5: Solve for x
    x = 12,238.89/139.58
  6. Step 6: Final answer
    x = 87.68

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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.