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Finding the Fourth Proportional to 129.11, 178.63 and 112.75

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Solution

The fourth proportional to 129.11, 178.63 and 112.75 is: 156.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.11 : 178.63 = 112.75 : x
  2. Step 2: Convert to fraction form
    129.11/178.63 = 112.75/x
  3. Step 3: Cross multiply
    129.11x = 178.63 × 112.75
  4. Step 4: Simplify right side
    129.11x = 20,139.80
  5. Step 5: Solve for x
    x = 20,139.80/129.11
  6. Step 6: Final answer
    x = 156.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.