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Finding the Fourth Proportional to 120, 180.02 and 112.71

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Solution

The fourth proportional to 120, 180.02 and 112.71 is: 169.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120 : 180.02 = 112.71 : x
  2. Step 2: Convert to fraction form
    120/180.02 = 112.71/x
  3. Step 3: Cross multiply
    120x = 180.02 × 112.71
  4. Step 4: Simplify right side
    120x = 20,289.49
  5. Step 5: Solve for x
    x = 20,289.49/120
  6. Step 6: Final answer
    x = 169.08

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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.