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Finding the Fourth Proportional to 114.75, 158.40 and 105.66

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Solution

The fourth proportional to 114.75, 158.40 and 105.66 is: 145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.75 : 158.40 = 105.66 : x
  2. Step 2: Convert to fraction form
    114.75/158.40 = 105.66/x
  3. Step 3: Cross multiply
    114.75x = 158.40 × 105.66
  4. Step 4: Simplify right side
    114.75x = 16,736.54
  5. Step 5: Solve for x
    x = 16,736.54/114.75
  6. Step 6: Final answer
    x = 145.85

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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.