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Finding the Fourth Proportional to 39.26, 54.20 and 29.58

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Solution

The fourth proportional to 39.26, 54.20 and 29.58 is: 40.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.26 : 54.20 = 29.58 : x
  2. Step 2: Convert to fraction form
    39.26/54.20 = 29.58/x
  3. Step 3: Cross multiply
    39.26x = 54.20 × 29.58
  4. Step 4: Simplify right side
    39.26x = 1,603.24
  5. Step 5: Solve for x
    x = 1,603.24/39.26
  6. Step 6: Final answer
    x = 40.84

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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.