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Finding the Fourth Proportional to 125.82, 174.02 and 105.44

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Solution

The fourth proportional to 125.82, 174.02 and 105.44 is: 145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.82 : 174.02 = 105.44 : x
  2. Step 2: Convert to fraction form
    125.82/174.02 = 105.44/x
  3. Step 3: Cross multiply
    125.82x = 174.02 × 105.44
  4. Step 4: Simplify right side
    125.82x = 18,347.27
  5. Step 5: Solve for x
    x = 18,347.27/125.82
  6. Step 6: Final answer
    x = 145.82

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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.