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Finding the Fourth Proportional to 124.93, 171.17 and 120.32

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Solution

The fourth proportional to 124.93, 171.17 and 120.32 is: 164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.93 : 171.17 = 120.32 : x
  2. Step 2: Convert to fraction form
    124.93/171.17 = 120.32/x
  3. Step 3: Cross multiply
    124.93x = 171.17 × 120.32
  4. Step 4: Simplify right side
    124.93x = 20,595.17
  5. Step 5: Solve for x
    x = 20,595.17/124.93
  6. Step 6: Final answer
    x = 164.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.