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Finding the Fourth Proportional to 129.45, 193.95 and 115.16

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Solution

The fourth proportional to 129.45, 193.95 and 115.16 is: 172.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.45 : 193.95 = 115.16 : x
  2. Step 2: Convert to fraction form
    129.45/193.95 = 115.16/x
  3. Step 3: Cross multiply
    129.45x = 193.95 × 115.16
  4. Step 4: Simplify right side
    129.45x = 22,334.31
  5. Step 5: Solve for x
    x = 22,334.31/129.45
  6. Step 6: Final answer
    x = 172.53

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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.