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Finding the Fourth Proportional to 39.92, 55.14 and 35.06

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Solution

The fourth proportional to 39.92, 55.14 and 35.06 is: 48.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.92 : 55.14 = 35.06 : x
  2. Step 2: Convert to fraction form
    39.92/55.14 = 35.06/x
  3. Step 3: Cross multiply
    39.92x = 55.14 × 35.06
  4. Step 4: Simplify right side
    39.92x = 1,933.21
  5. Step 5: Solve for x
    x = 1,933.21/39.92
  6. Step 6: Final answer
    x = 48.43

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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.