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Finding the Fourth Proportional to 37.72, 52.07 and 26.85

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Solution

The fourth proportional to 37.72, 52.07 and 26.85 is: 37.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.72 : 52.07 = 26.85 : x
  2. Step 2: Convert to fraction form
    37.72/52.07 = 26.85/x
  3. Step 3: Cross multiply
    37.72x = 52.07 × 26.85
  4. Step 4: Simplify right side
    37.72x = 1,398.08
  5. Step 5: Solve for x
    x = 1,398.08/37.72
  6. Step 6: Final answer
    x = 37.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.