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Finding the Fourth Proportional to 129.12, 177.16 and 125.92

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Solution

The fourth proportional to 129.12, 177.16 and 125.92 is: 172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.12 : 177.16 = 125.92 : x
  2. Step 2: Convert to fraction form
    129.12/177.16 = 125.92/x
  3. Step 3: Cross multiply
    129.12x = 177.16 × 125.92
  4. Step 4: Simplify right side
    129.12x = 22,307.99
  5. Step 5: Solve for x
    x = 22,307.99/129.12
  6. Step 6: Final answer
    x = 172.77

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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.