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Finding the Fourth Proportional to 39.50, 59.35 and 36.46

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Solution

The fourth proportional to 39.50, 59.35 and 36.46 is: 54.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.50 : 59.35 = 36.46 : x
  2. Step 2: Convert to fraction form
    39.50/59.35 = 36.46/x
  3. Step 3: Cross multiply
    39.50x = 59.35 × 36.46
  4. Step 4: Simplify right side
    39.50x = 2,163.90
  5. Step 5: Solve for x
    x = 2,163.90/39.50
  6. Step 6: Final answer
    x = 54.78

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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.