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Finding the Fourth Proportional to 115.66, 174.07 and 86.92

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Solution

The fourth proportional to 115.66, 174.07 and 86.92 is: 130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.66 : 174.07 = 86.92 : x
  2. Step 2: Convert to fraction form
    115.66/174.07 = 86.92/x
  3. Step 3: Cross multiply
    115.66x = 174.07 × 86.92
  4. Step 4: Simplify right side
    115.66x = 15,130.16
  5. Step 5: Solve for x
    x = 15,130.16/115.66
  6. Step 6: Final answer
    x = 130.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.