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Finding the Fourth Proportional to 120.57, 180.71 and 52.14

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Solution

The fourth proportional to 120.57, 180.71 and 52.14 is: 78.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.57 : 180.71 = 52.14 : x
  2. Step 2: Convert to fraction form
    120.57/180.71 = 52.14/x
  3. Step 3: Cross multiply
    120.57x = 180.71 × 52.14
  4. Step 4: Simplify right side
    120.57x = 9,423.13
  5. Step 5: Solve for x
    x = 9,423.13/120.57
  6. Step 6: Final answer
    x = 78.15

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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.