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Finding the Fourth Proportional to 105.46, 158.03 and 76.62

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Solution

The fourth proportional to 105.46, 158.03 and 76.62 is: 114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.46 : 158.03 = 76.62 : x
  2. Step 2: Convert to fraction form
    105.46/158.03 = 76.62/x
  3. Step 3: Cross multiply
    105.46x = 158.03 × 76.62
  4. Step 4: Simplify right side
    105.46x = 12,108.76
  5. Step 5: Solve for x
    x = 12,108.76/105.46
  6. Step 6: Final answer
    x = 114.82

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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.