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Finding the Fourth Proportional to 125.54, 173.24 and 76.42

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Solution

The fourth proportional to 125.54, 173.24 and 76.42 is: 105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.54 : 173.24 = 76.42 : x
  2. Step 2: Convert to fraction form
    125.54/173.24 = 76.42/x
  3. Step 3: Cross multiply
    125.54x = 173.24 × 76.42
  4. Step 4: Simplify right side
    125.54x = 13,239.00
  5. Step 5: Solve for x
    x = 13,239.00/125.54
  6. Step 6: Final answer
    x = 105.46

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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.