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Finding the Fourth Proportional to 125.09, 171.71 and 110.97

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Solution

The fourth proportional to 125.09, 171.71 and 110.97 is: 152.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.09 : 171.71 = 110.97 : x
  2. Step 2: Convert to fraction form
    125.09/171.71 = 110.97/x
  3. Step 3: Cross multiply
    125.09x = 171.71 × 110.97
  4. Step 4: Simplify right side
    125.09x = 19,053.25
  5. Step 5: Solve for x
    x = 19,053.25/125.09
  6. Step 6: Final answer
    x = 152.32

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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.