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Finding the Fourth Proportional to 105.67, 158.10 and 102.70

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Solution

The fourth proportional to 105.67, 158.10 and 102.70 is: 153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.67 : 158.10 = 102.70 : x
  2. Step 2: Convert to fraction form
    105.67/158.10 = 102.70/x
  3. Step 3: Cross multiply
    105.67x = 158.10 × 102.70
  4. Step 4: Simplify right side
    105.67x = 16,236.87
  5. Step 5: Solve for x
    x = 16,236.87/105.67
  6. Step 6: Final answer
    x = 153.66

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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.