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Finding the Fourth Proportional to 39.16, 58.37 and 38.08

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Solution

The fourth proportional to 39.16, 58.37 and 38.08 is: 56.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.16 : 58.37 = 38.08 : x
  2. Step 2: Convert to fraction form
    39.16/58.37 = 38.08/x
  3. Step 3: Cross multiply
    39.16x = 58.37 × 38.08
  4. Step 4: Simplify right side
    39.16x = 2,222.73
  5. Step 5: Solve for x
    x = 2,222.73/39.16
  6. Step 6: Final answer
    x = 56.76

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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.