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Finding the Fourth Proportional to 75.49, 103.25 and 75.18

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Solution

The fourth proportional to 75.49, 103.25 and 75.18 is: 102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.49 : 103.25 = 75.18 : x
  2. Step 2: Convert to fraction form
    75.49/103.25 = 75.18/x
  3. Step 3: Cross multiply
    75.49x = 103.25 × 75.18
  4. Step 4: Simplify right side
    75.49x = 7,762.52
  5. Step 5: Solve for x
    x = 7,762.52/75.49
  6. Step 6: Final answer
    x = 102.83

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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.