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Finding the Fourth Proportional to 37.60, 56.52 and 34.40

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Solution

The fourth proportional to 37.60, 56.52 and 34.40 is: 51.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.60 : 56.52 = 34.40 : x
  2. Step 2: Convert to fraction form
    37.60/56.52 = 34.40/x
  3. Step 3: Cross multiply
    37.60x = 56.52 × 34.40
  4. Step 4: Simplify right side
    37.60x = 1,944.29
  5. Step 5: Solve for x
    x = 1,944.29/37.60
  6. Step 6: Final answer
    x = 51.71

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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.