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Finding the Fourth Proportional to 125.29, 171.65 and 120.43

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Solution

The fourth proportional to 125.29, 171.65 and 120.43 is: 164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.29 : 171.65 = 120.43 : x
  2. Step 2: Convert to fraction form
    125.29/171.65 = 120.43/x
  3. Step 3: Cross multiply
    125.29x = 171.65 × 120.43
  4. Step 4: Simplify right side
    125.29x = 20,671.81
  5. Step 5: Solve for x
    x = 20,671.81/125.29
  6. Step 6: Final answer
    x = 164.99

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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.