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Finding the Fourth Proportional to 105.10, 156.82 and 104.43

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Solution

The fourth proportional to 105.10, 156.82 and 104.43 is: 155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.10 : 156.82 = 104.43 : x
  2. Step 2: Convert to fraction form
    105.10/156.82 = 104.43/x
  3. Step 3: Cross multiply
    105.10x = 156.82 × 104.43
  4. Step 4: Simplify right side
    105.10x = 16,376.19
  5. Step 5: Solve for x
    x = 16,376.19/105.10
  6. Step 6: Final answer
    x = 155.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.