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Finding the Fourth Proportional to 39.50, 58.85 and 37.75

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Solution

The fourth proportional to 39.50, 58.85 and 37.75 is: 56.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.50 : 58.85 = 37.75 : x
  2. Step 2: Convert to fraction form
    39.50/58.85 = 37.75/x
  3. Step 3: Cross multiply
    39.50x = 58.85 × 37.75
  4. Step 4: Simplify right side
    39.50x = 2,221.35
  5. Step 5: Solve for x
    x = 2,221.35/39.50
  6. Step 6: Final answer
    x = 56.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.