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Finding the Fourth Proportional to 114.64, 158.20 and 77.78

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Solution

The fourth proportional to 114.64, 158.20 and 77.78 is: 107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.64 : 158.20 = 77.78 : x
  2. Step 2: Convert to fraction form
    114.64/158.20 = 77.78/x
  3. Step 3: Cross multiply
    114.64x = 158.20 × 77.78
  4. Step 4: Simplify right side
    114.64x = 12,304.80
  5. Step 5: Solve for x
    x = 12,304.80/114.64
  6. Step 6: Final answer
    x = 107.33

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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.