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Finding the Fourth Proportional to 129.99, 194.85 and 117.78

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Solution

The fourth proportional to 129.99, 194.85 and 117.78 is: 176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.99 : 194.85 = 117.78 : x
  2. Step 2: Convert to fraction form
    129.99/194.85 = 117.78/x
  3. Step 3: Cross multiply
    129.99x = 194.85 × 117.78
  4. Step 4: Simplify right side
    129.99x = 22,949.43
  5. Step 5: Solve for x
    x = 22,949.43/129.99
  6. Step 6: Final answer
    x = 176.55

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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.