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Finding the Fourth Proportional to 115.98, 160.02 and 66.86

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Solution

The fourth proportional to 115.98, 160.02 and 66.86 is: 92.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.98 : 160.02 = 66.86 : x
  2. Step 2: Convert to fraction form
    115.98/160.02 = 66.86/x
  3. Step 3: Cross multiply
    115.98x = 160.02 × 66.86
  4. Step 4: Simplify right side
    115.98x = 10,698.94
  5. Step 5: Solve for x
    x = 10,698.94/115.98
  6. Step 6: Final answer
    x = 92.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.