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Finding the Fourth Proportional to 115.24, 172.17 and 107.65

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Solution

The fourth proportional to 115.24, 172.17 and 107.65 is: 160.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.24 : 172.17 = 107.65 : x
  2. Step 2: Convert to fraction form
    115.24/172.17 = 107.65/x
  3. Step 3: Cross multiply
    115.24x = 172.17 × 107.65
  4. Step 4: Simplify right side
    115.24x = 18,534.10
  5. Step 5: Solve for x
    x = 18,534.10/115.24
  6. Step 6: Final answer
    x = 160.83

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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.