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Finding the Fourth Proportional to 129.57, 178.26 and 112.03

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Solution

The fourth proportional to 129.57, 178.26 and 112.03 is: 154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.57 : 178.26 = 112.03 : x
  2. Step 2: Convert to fraction form
    129.57/178.26 = 112.03/x
  3. Step 3: Cross multiply
    129.57x = 178.26 × 112.03
  4. Step 4: Simplify right side
    129.57x = 19,970.26
  5. Step 5: Solve for x
    x = 19,970.26/129.57
  6. Step 6: Final answer
    x = 154.13

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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.