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Finding the Fourth Proportional to 37.70, 56.66 and 25.74

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Solution

The fourth proportional to 37.70, 56.66 and 25.74 is: 38.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.70 : 56.66 = 25.74 : x
  2. Step 2: Convert to fraction form
    37.70/56.66 = 25.74/x
  3. Step 3: Cross multiply
    37.70x = 56.66 × 25.74
  4. Step 4: Simplify right side
    37.70x = 1,458.30
  5. Step 5: Solve for x
    x = 1,458.30/37.70
  6. Step 6: Final answer
    x = 38.69

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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.