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Finding the Fourth Proportional to 115.13, 172.46 and 86.28

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Solution

The fourth proportional to 115.13, 172.46 and 86.28 is: 129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.13 : 172.46 = 86.28 : x
  2. Step 2: Convert to fraction form
    115.13/172.46 = 86.28/x
  3. Step 3: Cross multiply
    115.13x = 172.46 × 86.28
  4. Step 4: Simplify right side
    115.13x = 14,879.42
  5. Step 5: Solve for x
    x = 14,879.42/115.13
  6. Step 6: Final answer
    x = 129.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.