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Finding the Fourth Proportional to 67.48, 101.01 and 36.95

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Solution

The fourth proportional to 67.48, 101.01 and 36.95 is: 55.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.48 : 101.01 = 36.95 : x
  2. Step 2: Convert to fraction form
    67.48/101.01 = 36.95/x
  3. Step 3: Cross multiply
    67.48x = 101.01 × 36.95
  4. Step 4: Simplify right side
    67.48x = 3,732.38
  5. Step 5: Solve for x
    x = 3,732.38/67.48
  6. Step 6: Final answer
    x = 55.31

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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.