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Finding the Fourth Proportional to 129.24, 177.36 and 115.32

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Solution

The fourth proportional to 129.24, 177.36 and 115.32 is: 158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.24 : 177.36 = 115.32 : x
  2. Step 2: Convert to fraction form
    129.24/177.36 = 115.32/x
  3. Step 3: Cross multiply
    129.24x = 177.36 × 115.32
  4. Step 4: Simplify right side
    129.24x = 20,453.16
  5. Step 5: Solve for x
    x = 20,453.16/129.24
  6. Step 6: Final answer
    x = 158.26

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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.