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Finding the Fourth Proportional to 67.47, 101.23 and 37.05

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Solution

The fourth proportional to 67.47, 101.23 and 37.05 is: 55.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.47 : 101.23 = 37.05 : x
  2. Step 2: Convert to fraction form
    67.47/101.23 = 37.05/x
  3. Step 3: Cross multiply
    67.47x = 101.23 × 37.05
  4. Step 4: Simplify right side
    67.47x = 3,750.57
  5. Step 5: Solve for x
    x = 3,750.57/67.47
  6. Step 6: Final answer
    x = 55.59

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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.