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Finding the Fourth Proportional to 39.89, 59.47 and 36.65

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Solution

The fourth proportional to 39.89, 59.47 and 36.65 is: 54.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.89 : 59.47 = 36.65 : x
  2. Step 2: Convert to fraction form
    39.89/59.47 = 36.65/x
  3. Step 3: Cross multiply
    39.89x = 59.47 × 36.65
  4. Step 4: Simplify right side
    39.89x = 2,179.63
  5. Step 5: Solve for x
    x = 2,179.63/39.89
  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.