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Finding the Fourth Proportional to 129.23, 193.11 and 98.21

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Solution

The fourth proportional to 129.23, 193.11 and 98.21 is: 146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.23 : 193.11 = 98.21 : x
  2. Step 2: Convert to fraction form
    129.23/193.11 = 98.21/x
  3. Step 3: Cross multiply
    129.23x = 193.11 × 98.21
  4. Step 4: Simplify right side
    129.23x = 18,966.00
  5. Step 5: Solve for x
    x = 18,966.00/129.23
  6. Step 6: Final answer
    x = 146.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.