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Finding the Fourth Proportional to 113, 168.48 and 106.88

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Solution

The fourth proportional to 113, 168.48 and 106.88 is: 159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    113 : 168.48 = 106.88 : x
  2. Step 2: Convert to fraction form
    113/168.48 = 106.88/x
  3. Step 3: Cross multiply
    113x = 168.48 × 106.88
  4. Step 4: Simplify right side
    113x = 18,007.14
  5. Step 5: Solve for x
    x = 18,007.14/113
  6. Step 6: Final answer
    x = 159.36

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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.