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Finding the Fourth Proportional to 108.14, 160.88 and 106.08

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Solution

The fourth proportional to 108.14, 160.88 and 106.08 is: 157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.14 : 160.88 = 106.08 : x
  2. Step 2: Convert to fraction form
    108.14/160.88 = 106.08/x
  3. Step 3: Cross multiply
    108.14x = 160.88 × 106.08
  4. Step 4: Simplify right side
    108.14x = 17,065.62
  5. Step 5: Solve for x
    x = 17,065.62/108.14
  6. Step 6: Final answer
    x = 157.82

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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.