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Finding the Fourth Proportional to 129.41, 193.65 and 90.80

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Solution

The fourth proportional to 129.41, 193.65 and 90.80 is: 135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.41 : 193.65 = 90.80 : x
  2. Step 2: Convert to fraction form
    129.41/193.65 = 90.80/x
  3. Step 3: Cross multiply
    129.41x = 193.65 × 90.80
  4. Step 4: Simplify right side
    129.41x = 17,582.45
  5. Step 5: Solve for x
    x = 17,582.45/129.41
  6. Step 6: Final answer
    x = 135.87

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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.