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Finding the Fourth Proportional to 105.83, 158.62 and 40.79

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Solution

The fourth proportional to 105.83, 158.62 and 40.79 is: 61.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.83 : 158.62 = 40.79 : x
  2. Step 2: Convert to fraction form
    105.83/158.62 = 40.79/x
  3. Step 3: Cross multiply
    105.83x = 158.62 × 40.79
  4. Step 4: Simplify right side
    105.83x = 6,470.11
  5. Step 5: Solve for x
    x = 6,470.11/105.83
  6. Step 6: Final answer
    x = 61.14

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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.