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Finding the Fourth Proportional to 114.44, 158.22 and 106.28

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Solution

The fourth proportional to 114.44, 158.22 and 106.28 is: 146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.44 : 158.22 = 106.28 : x
  2. Step 2: Convert to fraction form
    114.44/158.22 = 106.28/x
  3. Step 3: Cross multiply
    114.44x = 158.22 × 106.28
  4. Step 4: Simplify right side
    114.44x = 16,815.62
  5. Step 5: Solve for x
    x = 16,815.62/114.44
  6. Step 6: Final answer
    x = 146.94

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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.