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Finding the Fourth Proportional to 37.10, 51.13 and 34.66

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Solution

The fourth proportional to 37.10, 51.13 and 34.66 is: 47.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.10 : 51.13 = 34.66 : x
  2. Step 2: Convert to fraction form
    37.10/51.13 = 34.66/x
  3. Step 3: Cross multiply
    37.10x = 51.13 × 34.66
  4. Step 4: Simplify right side
    37.10x = 1,771.74
  5. Step 5: Solve for x
    x = 1,771.74/37.10
  6. Step 6: Final answer
    x = 47.76

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