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Finding the Fourth Proportional to 129.40, 194.00 and 78.05

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Solution

The fourth proportional to 129.40, 194.00 and 78.05 is: 117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.40 : 194.00 = 78.05 : x
  2. Step 2: Convert to fraction form
    129.40/194.00 = 78.05/x
  3. Step 3: Cross multiply
    129.40x = 194.00 × 78.05
  4. Step 4: Simplify right side
    129.40x = 15,141.79
  5. Step 5: Solve for x
    x = 15,141.79/129.40
  6. Step 6: Final answer
    x = 117.02

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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.