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Finding the Fourth Proportional to 108.63, 161.67 and 106.06

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Solution

The fourth proportional to 108.63, 161.67 and 106.06 is: 157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.63 : 161.67 = 106.06 : x
  2. Step 2: Convert to fraction form
    108.63/161.67 = 106.06/x
  3. Step 3: Cross multiply
    108.63x = 161.67 × 106.06
  4. Step 4: Simplify right side
    108.63x = 17,146.72
  5. Step 5: Solve for x
    x = 17,146.72/108.63
  6. Step 6: Final answer
    x = 157.85

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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.