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Finding the Fourth Proportional to 114.78, 158.49 and 82.14

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Solution

The fourth proportional to 114.78, 158.49 and 82.14 is: 113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.78 : 158.49 = 82.14 : x
  2. Step 2: Convert to fraction form
    114.78/158.49 = 82.14/x
  3. Step 3: Cross multiply
    114.78x = 158.49 × 82.14
  4. Step 4: Simplify right side
    114.78x = 13,018.37
  5. Step 5: Solve for x
    x = 13,018.37/114.78
  6. Step 6: Final answer
    x = 113.42

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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.