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Finding the Fourth Proportional to 75, 103.42 and 55.24

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Solution

The fourth proportional to 75, 103.42 and 55.24 is: 76.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75 : 103.42 = 55.24 : x
  2. Step 2: Convert to fraction form
    75/103.42 = 55.24/x
  3. Step 3: Cross multiply
    75x = 103.42 × 55.24
  4. Step 4: Simplify right side
    75x = 5,712.92
  5. Step 5: Solve for x
    x = 5,712.92/75
  6. Step 6: Final answer
    x = 76.17

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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.