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Finding the Fourth Proportional to 37.05, 51.10 and 34.35

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Solution

The fourth proportional to 37.05, 51.10 and 34.35 is: 47.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.05 : 51.10 = 34.35 : x
  2. Step 2: Convert to fraction form
    37.05/51.10 = 34.35/x
  3. Step 3: Cross multiply
    37.05x = 51.10 × 34.35
  4. Step 4: Simplify right side
    37.05x = 1,755.29
  5. Step 5: Solve for x
    x = 1,755.29/37.05
  6. Step 6: Final answer
    x = 47.38

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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.