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Finding the Fourth Proportional to 129.40, 194.10 and 98.87

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Solution

The fourth proportional to 129.40, 194.10 and 98.87 is: 148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.40 : 194.10 = 98.87 : x
  2. Step 2: Convert to fraction form
    129.40/194.10 = 98.87/x
  3. Step 3: Cross multiply
    129.40x = 194.10 × 98.87
  4. Step 4: Simplify right side
    129.40x = 19,190.42
  5. Step 5: Solve for x
    x = 19,190.42/129.40
  6. Step 6: Final answer
    x = 148.31

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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.