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Finding the Fourth Proportional to 39.75, 54.86 and 30.55

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Solution

The fourth proportional to 39.75, 54.86 and 30.55 is: 42.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.75 : 54.86 = 30.55 : x
  2. Step 2: Convert to fraction form
    39.75/54.86 = 30.55/x
  3. Step 3: Cross multiply
    39.75x = 54.86 × 30.55
  4. Step 4: Simplify right side
    39.75x = 1,675.82
  5. Step 5: Solve for x
    x = 1,675.82/39.75
  6. Step 6: Final answer
    x = 42.16

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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.