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Finding the Fourth Proportional to 129.29, 178.27 and 92.43

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Solution

The fourth proportional to 129.29, 178.27 and 92.43 is: 127.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.29 : 178.27 = 92.43 : x
  2. Step 2: Convert to fraction form
    129.29/178.27 = 92.43/x
  3. Step 3: Cross multiply
    129.29x = 178.27 × 92.43
  4. Step 4: Simplify right side
    129.29x = 16,477.50
  5. Step 5: Solve for x
    x = 16,477.50/129.29
  6. Step 6: Final answer
    x = 127.45

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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.