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Finding the Fourth Proportional to 39.71, 59.49 and 32.51

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Solution

The fourth proportional to 39.71, 59.49 and 32.51 is: 48.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.71 : 59.49 = 32.51 : x
  2. Step 2: Convert to fraction form
    39.71/59.49 = 32.51/x
  3. Step 3: Cross multiply
    39.71x = 59.49 × 32.51
  4. Step 4: Simplify right side
    39.71x = 1,933.72
  5. Step 5: Solve for x
    x = 1,933.72/39.71
  6. Step 6: Final answer
    x = 48.70

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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.