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Finding the Fourth Proportional to 129.71, 178.62 and 112.20

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Solution

The fourth proportional to 129.71, 178.62 and 112.20 is: 154.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.71 : 178.62 = 112.20 : x
  2. Step 2: Convert to fraction form
    129.71/178.62 = 112.20/x
  3. Step 3: Cross multiply
    129.71x = 178.62 × 112.20
  4. Step 4: Simplify right side
    129.71x = 20,041.16
  5. Step 5: Solve for x
    x = 20,041.16/129.71
  6. Step 6: Final answer
    x = 154.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.