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Finding the Fourth Proportional to 129.47, 193.92 and 99.06

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Solution

The fourth proportional to 129.47, 193.92 and 99.06 is: 148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.47 : 193.92 = 99.06 : x
  2. Step 2: Convert to fraction form
    129.47/193.92 = 99.06/x
  3. Step 3: Cross multiply
    129.47x = 193.92 × 99.06
  4. Step 4: Simplify right side
    129.47x = 19,209.72
  5. Step 5: Solve for x
    x = 19,209.72/129.47
  6. Step 6: Final answer
    x = 148.38

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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.