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Finding the Fourth Proportional to 129.68, 194.36 and 102.52

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Solution

The fourth proportional to 129.68, 194.36 and 102.52 is: 153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.68 : 194.36 = 102.52 : x
  2. Step 2: Convert to fraction form
    129.68/194.36 = 102.52/x
  3. Step 3: Cross multiply
    129.68x = 194.36 × 102.52
  4. Step 4: Simplify right side
    129.68x = 19,925.79
  5. Step 5: Solve for x
    x = 19,925.79/129.68
  6. Step 6: Final answer
    x = 153.65

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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.