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Finding the Fourth Proportional to 129.10, 178.23 and 89.82

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Solution

The fourth proportional to 129.10, 178.23 and 89.82 is: 124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.10 : 178.23 = 89.82 : x
  2. Step 2: Convert to fraction form
    129.10/178.23 = 89.82/x
  3. Step 3: Cross multiply
    129.10x = 178.23 × 89.82
  4. Step 4: Simplify right side
    129.10x = 16,008.62
  5. Step 5: Solve for x
    x = 16,008.62/129.10
  6. Step 6: Final answer
    x = 124.00

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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.