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Finding the Fourth Proportional to 139.90, 209.84 and 37.18

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Solution

The fourth proportional to 139.90, 209.84 and 37.18 is: 55.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.90 : 209.84 = 37.18 : x
  2. Step 2: Convert to fraction form
    139.90/209.84 = 37.18/x
  3. Step 3: Cross multiply
    139.90x = 209.84 × 37.18
  4. Step 4: Simplify right side
    139.90x = 7,801.85
  5. Step 5: Solve for x
    x = 7,801.85/139.90
  6. Step 6: Final answer
    x = 55.77

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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.