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Finding the Fourth Proportional to 39.83, 59.34 and 38.35

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Solution

The fourth proportional to 39.83, 59.34 and 38.35 is: 57.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.83 : 59.34 = 38.35 : x
  2. Step 2: Convert to fraction form
    39.83/59.34 = 38.35/x
  3. Step 3: Cross multiply
    39.83x = 59.34 × 38.35
  4. Step 4: Simplify right side
    39.83x = 2,275.69
  5. Step 5: Solve for x
    x = 2,275.69/39.83
  6. Step 6: Final answer
    x = 57.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.