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Finding the Fourth Proportional to 120.57, 180.88 and 39.42

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Solution

The fourth proportional to 120.57, 180.88 and 39.42 is: 59.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.57 : 180.88 = 39.42 : x
  2. Step 2: Convert to fraction form
    120.57/180.88 = 39.42/x
  3. Step 3: Cross multiply
    120.57x = 180.88 × 39.42
  4. Step 4: Simplify right side
    120.57x = 7,129.39
  5. Step 5: Solve for x
    x = 7,129.39/120.57
  6. Step 6: Final answer
    x = 59.13

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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.