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Finding the Fourth Proportional to 114.77, 158.39 and 83.86

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Solution

The fourth proportional to 114.77, 158.39 and 83.86 is: 115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.77 : 158.39 = 83.86 : x
  2. Step 2: Convert to fraction form
    114.77/158.39 = 83.86/x
  3. Step 3: Cross multiply
    114.77x = 158.39 × 83.86
  4. Step 4: Simplify right side
    114.77x = 13,282.08
  5. Step 5: Solve for x
    x = 13,282.08/114.77
  6. Step 6: Final answer
    x = 115.73

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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.