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Finding the Fourth Proportional to 129.47, 194.01 and 75.24

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Solution

The fourth proportional to 129.47, 194.01 and 75.24 is: 112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.47 : 194.01 = 75.24 : x
  2. Step 2: Convert to fraction form
    129.47/194.01 = 75.24/x
  3. Step 3: Cross multiply
    129.47x = 194.01 × 75.24
  4. Step 4: Simplify right side
    129.47x = 14,597.31
  5. Step 5: Solve for x
    x = 14,597.31/129.47
  6. Step 6: Final answer
    x = 112.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.