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Finding the Fourth Proportional to 39.60, 54.70 and 29.26

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Solution

The fourth proportional to 39.60, 54.70 and 29.26 is: 40.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.60 : 54.70 = 29.26 : x
  2. Step 2: Convert to fraction form
    39.60/54.70 = 29.26/x
  3. Step 3: Cross multiply
    39.60x = 54.70 × 29.26
  4. Step 4: Simplify right side
    39.60x = 1,600.52
  5. Step 5: Solve for x
    x = 1,600.52/39.60
  6. Step 6: Final answer
    x = 40.42

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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.