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Finding the Fourth Proportional to 39.87, 59.75 and 35.82

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Solution

The fourth proportional to 39.87, 59.75 and 35.82 is: 53.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.87 : 59.75 = 35.82 : x
  2. Step 2: Convert to fraction form
    39.87/59.75 = 35.82/x
  3. Step 3: Cross multiply
    39.87x = 59.75 × 35.82
  4. Step 4: Simplify right side
    39.87x = 2,140.25
  5. Step 5: Solve for x
    x = 2,140.25/39.87
  6. Step 6: Final answer
    x = 53.68

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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.