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Finding the Fourth Proportional to 125.20, 172.71 and 76.09

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Solution

The fourth proportional to 125.20, 172.71 and 76.09 is: 104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.20 : 172.71 = 76.09 : x
  2. Step 2: Convert to fraction form
    125.20/172.71 = 76.09/x
  3. Step 3: Cross multiply
    125.20x = 172.71 × 76.09
  4. Step 4: Simplify right side
    125.20x = 13,141.50
  5. Step 5: Solve for x
    x = 13,141.50/125.20
  6. Step 6: Final answer
    x = 104.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.