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Finding the Fourth Proportional to 39.41, 54.32 and 30.65

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Solution

The fourth proportional to 39.41, 54.32 and 30.65 is: 42.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.41 : 54.32 = 30.65 : x
  2. Step 2: Convert to fraction form
    39.41/54.32 = 30.65/x
  3. Step 3: Cross multiply
    39.41x = 54.32 × 30.65
  4. Step 4: Simplify right side
    39.41x = 1,664.64
  5. Step 5: Solve for x
    x = 1,664.64/39.41
  6. Step 6: Final answer
    x = 42.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.