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Finding the Fourth Proportional to 129.20, 193.48 and 72.08

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Solution

The fourth proportional to 129.20, 193.48 and 72.08 is: 107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.20 : 193.48 = 72.08 : x
  2. Step 2: Convert to fraction form
    129.20/193.48 = 72.08/x
  3. Step 3: Cross multiply
    129.20x = 193.48 × 72.08
  4. Step 4: Simplify right side
    129.20x = 13,946.04
  5. Step 5: Solve for x
    x = 13,946.04/129.20
  6. Step 6: Final answer
    x = 107.94

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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.