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Finding the Fourth Proportional to 125.85, 172.93 and 102.48

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Solution

The fourth proportional to 125.85, 172.93 and 102.48 is: 140.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.85 : 172.93 = 102.48 : x
  2. Step 2: Convert to fraction form
    125.85/172.93 = 102.48/x
  3. Step 3: Cross multiply
    125.85x = 172.93 × 102.48
  4. Step 4: Simplify right side
    125.85x = 17,722.27
  5. Step 5: Solve for x
    x = 17,722.27/125.85
  6. Step 6: Final answer
    x = 140.82

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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.