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Finding the Fourth Proportional to 108.06, 161.36 and 106.14

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Solution

The fourth proportional to 108.06, 161.36 and 106.14 is: 158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.06 : 161.36 = 106.14 : x
  2. Step 2: Convert to fraction form
    108.06/161.36 = 106.14/x
  3. Step 3: Cross multiply
    108.06x = 161.36 × 106.14
  4. Step 4: Simplify right side
    108.06x = 17,126.22
  5. Step 5: Solve for x
    x = 17,126.22/108.06
  6. Step 6: Final answer
    x = 158.49

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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.