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Finding the Fourth Proportional to 75.48, 103.23 and 75.24

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Solution

The fourth proportional to 75.48, 103.23 and 75.24 is: 102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.48 : 103.23 = 75.24 : x
  2. Step 2: Convert to fraction form
    75.48/103.23 = 75.24/x
  3. Step 3: Cross multiply
    75.48x = 103.23 × 75.24
  4. Step 4: Simplify right side
    75.48x = 7,767.03
  5. Step 5: Solve for x
    x = 7,767.03/75.48
  6. Step 6: Final answer
    x = 102.90

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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.