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Finding the Fourth Proportional to 129.46, 194.10 and 78.13

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Solution

The fourth proportional to 129.46, 194.10 and 78.13 is: 117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.46 : 194.10 = 78.13 : x
  2. Step 2: Convert to fraction form
    129.46/194.10 = 78.13/x
  3. Step 3: Cross multiply
    129.46x = 194.10 × 78.13
  4. Step 4: Simplify right side
    129.46x = 15,165.03
  5. Step 5: Solve for x
    x = 15,165.03/129.46
  6. Step 6: Final answer
    x = 117.14

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Why These Related Problems?

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