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Finding the Fourth Proportional to 37.05, 51.16 and 24.78

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Solution

The fourth proportional to 37.05, 51.16 and 24.78 is: 34.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.05 : 51.16 = 24.78 : x
  2. Step 2: Convert to fraction form
    37.05/51.16 = 24.78/x
  3. Step 3: Cross multiply
    37.05x = 51.16 × 24.78
  4. Step 4: Simplify right side
    37.05x = 1,267.93
  5. Step 5: Solve for x
    x = 1,267.93/37.05
  6. Step 6: Final answer
    x = 34.22

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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.