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Finding the Fourth Proportional to 108.02, 160.79 and 107.42

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Solution

The fourth proportional to 108.02, 160.79 and 107.42 is: 159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.02 : 160.79 = 107.42 : x
  2. Step 2: Convert to fraction form
    108.02/160.79 = 107.42/x
  3. Step 3: Cross multiply
    108.02x = 160.79 × 107.42
  4. Step 4: Simplify right side
    108.02x = 17,270.72
  5. Step 5: Solve for x
    x = 17,270.72/108.02
  6. Step 6: Final answer
    x = 159.89

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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.