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Finding the Fourth Proportional to 129.61, 194.23 and 102.61

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Solution

The fourth proportional to 129.61, 194.23 and 102.61 is: 153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.61 : 194.23 = 102.61 : x
  2. Step 2: Convert to fraction form
    129.61/194.23 = 102.61/x
  3. Step 3: Cross multiply
    129.61x = 194.23 × 102.61
  4. Step 4: Simplify right side
    129.61x = 19,929.94
  5. Step 5: Solve for x
    x = 19,929.94/129.61
  6. Step 6: Final answer
    x = 153.77

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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.