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Finding the Fourth Proportional to 129.28, 177.44 and 114.72

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Solution

The fourth proportional to 129.28, 177.44 and 114.72 is: 157.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.28 : 177.44 = 114.72 : x
  2. Step 2: Convert to fraction form
    129.28/177.44 = 114.72/x
  3. Step 3: Cross multiply
    129.28x = 177.44 × 114.72
  4. Step 4: Simplify right side
    129.28x = 20,355.92
  5. Step 5: Solve for x
    x = 20,355.92/129.28
  6. Step 6: Final answer
    x = 157.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.