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Finding the Fourth Proportional to 37.72, 52.06 and 35.76

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Solution

The fourth proportional to 37.72, 52.06 and 35.76 is: 49.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.72 : 52.06 = 35.76 : x
  2. Step 2: Convert to fraction form
    37.72/52.06 = 35.76/x
  3. Step 3: Cross multiply
    37.72x = 52.06 × 35.76
  4. Step 4: Simplify right side
    37.72x = 1,861.67
  5. Step 5: Solve for x
    x = 1,861.67/37.72
  6. Step 6: Final answer
    x = 49.35

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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.