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Finding the Fourth Proportional to 115.74, 172.20 and 114.86

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Solution

The fourth proportional to 115.74, 172.20 and 114.86 is: 170.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.74 : 172.20 = 114.86 : x
  2. Step 2: Convert to fraction form
    115.74/172.20 = 114.86/x
  3. Step 3: Cross multiply
    115.74x = 172.20 × 114.86
  4. Step 4: Simplify right side
    115.74x = 19,778.32
  5. Step 5: Solve for x
    x = 19,778.32/115.74
  6. Step 6: Final answer
    x = 170.89

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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.