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Finding the Fourth Proportional to 108.41, 163.53 and 106.16

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Solution

The fourth proportional to 108.41, 163.53 and 106.16 is: 160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.41 : 163.53 = 106.16 : x
  2. Step 2: Convert to fraction form
    108.41/163.53 = 106.16/x
  3. Step 3: Cross multiply
    108.41x = 163.53 × 106.16
  4. Step 4: Simplify right side
    108.41x = 17,359.53
  5. Step 5: Solve for x
    x = 17,359.53/108.41
  6. Step 6: Final answer
    x = 160.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.