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Finding the Fourth Proportional to 114.70, 158.20 and 77.84

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Solution

The fourth proportional to 114.70, 158.20 and 77.84 is: 107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.70 : 158.20 = 77.84 : x
  2. Step 2: Convert to fraction form
    114.70/158.20 = 77.84/x
  3. Step 3: Cross multiply
    114.70x = 158.20 × 77.84
  4. Step 4: Simplify right side
    114.70x = 12,314.29
  5. Step 5: Solve for x
    x = 12,314.29/114.70
  6. Step 6: Final answer
    x = 107.36

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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.