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Finding the Fourth Proportional to 105.35, 158.94 and 104.13

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Solution

The fourth proportional to 105.35, 158.94 and 104.13 is: 157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.35 : 158.94 = 104.13 : x
  2. Step 2: Convert to fraction form
    105.35/158.94 = 104.13/x
  3. Step 3: Cross multiply
    105.35x = 158.94 × 104.13
  4. Step 4: Simplify right side
    105.35x = 16,550.42
  5. Step 5: Solve for x
    x = 16,550.42/105.35
  6. Step 6: Final answer
    x = 157.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.