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Finding the Fourth Proportional to 119.80, 178.81 and 112.72

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Solution

The fourth proportional to 119.80, 178.81 and 112.72 is: 168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.80 : 178.81 = 112.72 : x
  2. Step 2: Convert to fraction form
    119.80/178.81 = 112.72/x
  3. Step 3: Cross multiply
    119.80x = 178.81 × 112.72
  4. Step 4: Simplify right side
    119.80x = 20,155.46
  5. Step 5: Solve for x
    x = 20,155.46/119.80
  6. Step 6: Final answer
    x = 168.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.