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Finding the Fourth Proportional to 67.50, 101.17 and 37.05

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Solution

The fourth proportional to 67.50, 101.17 and 37.05 is: 55.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.50 : 101.17 = 37.05 : x
  2. Step 2: Convert to fraction form
    67.50/101.17 = 37.05/x
  3. Step 3: Cross multiply
    67.50x = 101.17 × 37.05
  4. Step 4: Simplify right side
    67.50x = 3,748.35
  5. Step 5: Solve for x
    x = 3,748.35/67.50
  6. Step 6: Final answer
    x = 55.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.