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Finding the Fourth Proportional to 37.38, 56.10 and 26.46

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Solution

The fourth proportional to 37.38, 56.10 and 26.46 is: 39.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.38 : 56.10 = 26.46 : x
  2. Step 2: Convert to fraction form
    37.38/56.10 = 26.46/x
  3. Step 3: Cross multiply
    37.38x = 56.10 × 26.46
  4. Step 4: Simplify right side
    37.38x = 1,484.41
  5. Step 5: Solve for x
    x = 1,484.41/37.38
  6. Step 6: Final answer
    x = 39.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.