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Finding the Fourth Proportional to 108.63, 161.57 and 105.23

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Solution

The fourth proportional to 108.63, 161.57 and 105.23 is: 156.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.63 : 161.57 = 105.23 : x
  2. Step 2: Convert to fraction form
    108.63/161.57 = 105.23/x
  3. Step 3: Cross multiply
    108.63x = 161.57 × 105.23
  4. Step 4: Simplify right side
    108.63x = 17,002.68
  5. Step 5: Solve for x
    x = 17,002.68/108.63
  6. Step 6: Final answer
    x = 156.52

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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.