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Finding the Fourth Proportional to 75.34, 113.65 and 67.36

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Solution

The fourth proportional to 75.34, 113.65 and 67.36 is: 101.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.34 : 113.65 = 67.36 : x
  2. Step 2: Convert to fraction form
    75.34/113.65 = 67.36/x
  3. Step 3: Cross multiply
    75.34x = 113.65 × 67.36
  4. Step 4: Simplify right side
    75.34x = 7,655.46
  5. Step 5: Solve for x
    x = 7,655.46/75.34
  6. Step 6: Final answer
    x = 101.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.