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Finding the Fourth Proportional to 37.10, 51.20 and 29.76

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Solution

The fourth proportional to 37.10, 51.20 and 29.76 is: 41.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.10 : 51.20 = 29.76 : x
  2. Step 2: Convert to fraction form
    37.10/51.20 = 29.76/x
  3. Step 3: Cross multiply
    37.10x = 51.20 × 29.76
  4. Step 4: Simplify right side
    37.10x = 1,523.56
  5. Step 5: Solve for x
    x = 1,523.56/37.10
  6. Step 6: Final answer
    x = 41.07

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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.