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Finding the Fourth Proportional to 105.64, 158.23 and 75.34

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Solution

The fourth proportional to 105.64, 158.23 and 75.34 is: 112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.64 : 158.23 = 75.34 : x
  2. Step 2: Convert to fraction form
    105.64/158.23 = 75.34/x
  3. Step 3: Cross multiply
    105.64x = 158.23 × 75.34
  4. Step 4: Simplify right side
    105.64x = 11,921.05
  5. Step 5: Solve for x
    x = 11,921.05/105.64
  6. Step 6: Final answer
    x = 112.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.