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Finding the Fourth Proportional to 120.52, 180.75 and 39.38

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Solution

The fourth proportional to 120.52, 180.75 and 39.38 is: 59.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.52 : 180.75 = 39.38 : x
  2. Step 2: Convert to fraction form
    120.52/180.75 = 39.38/x
  3. Step 3: Cross multiply
    120.52x = 180.75 × 39.38
  4. Step 4: Simplify right side
    120.52x = 7,117.94
  5. Step 5: Solve for x
    x = 7,117.94/120.52
  6. Step 6: Final answer
    x = 59.06

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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.