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Finding the Fourth Proportional to 113.85, 171.63 and 106.02

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Solution

The fourth proportional to 113.85, 171.63 and 106.02 is: 159.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.85 : 171.63 = 106.02 : x
  2. Step 2: Convert to fraction form
    113.85/171.63 = 106.02/x
  3. Step 3: Cross multiply
    113.85x = 171.63 × 106.02
  4. Step 4: Simplify right side
    113.85x = 18,196.21
  5. Step 5: Solve for x
    x = 18,196.21/113.85
  6. Step 6: Final answer
    x = 159.83

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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.