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Finding the Fourth Proportional to 115.60, 172.56 and 107.15

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Solution

The fourth proportional to 115.60, 172.56 and 107.15 is: 159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.60 : 172.56 = 107.15 : x
  2. Step 2: Convert to fraction form
    115.60/172.56 = 107.15/x
  3. Step 3: Cross multiply
    115.60x = 172.56 × 107.15
  4. Step 4: Simplify right side
    115.60x = 18,489.80
  5. Step 5: Solve for x
    x = 18,489.80/115.60
  6. Step 6: Final answer
    x = 159.95

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Why These Related Problems?

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