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Finding the Fourth Proportional to 105.40, 158.02 and 41.24

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Solution

The fourth proportional to 105.40, 158.02 and 41.24 is: 61.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.40 : 158.02 = 41.24 : x
  2. Step 2: Convert to fraction form
    105.40/158.02 = 41.24/x
  3. Step 3: Cross multiply
    105.40x = 158.02 × 41.24
  4. Step 4: Simplify right side
    105.40x = 6,516.74
  5. Step 5: Solve for x
    x = 6,516.74/105.40
  6. Step 6: Final answer
    x = 61.83

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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.