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Finding the Fourth Proportional to 108.32, 161.62 and 96.72

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Solution

The fourth proportional to 108.32, 161.62 and 96.72 is: 144.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.32 : 161.62 = 96.72 : x
  2. Step 2: Convert to fraction form
    108.32/161.62 = 96.72/x
  3. Step 3: Cross multiply
    108.32x = 161.62 × 96.72
  4. Step 4: Simplify right side
    108.32x = 15,631.89
  5. Step 5: Solve for x
    x = 15,631.89/108.32
  6. Step 6: Final answer
    x = 144.31

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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.