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Finding the Fourth Proportional to 39.80, 59.29 and 36.68

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Solution

The fourth proportional to 39.80, 59.29 and 36.68 is: 54.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.80 : 59.29 = 36.68 : x
  2. Step 2: Convert to fraction form
    39.80/59.29 = 36.68/x
  3. Step 3: Cross multiply
    39.80x = 59.29 × 36.68
  4. Step 4: Simplify right side
    39.80x = 2,174.76
  5. Step 5: Solve for x
    x = 2,174.76/39.80
  6. Step 6: Final answer
    x = 54.64

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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.