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Finding the Fourth Proportional to 29.35, 40.46 and 28.96

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Solution

The fourth proportional to 29.35, 40.46 and 28.96 is: 39.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.35 : 40.46 = 28.96 : x
  2. Step 2: Convert to fraction form
    29.35/40.46 = 28.96/x
  3. Step 3: Cross multiply
    29.35x = 40.46 × 28.96
  4. Step 4: Simplify right side
    29.35x = 1,171.72
  5. Step 5: Solve for x
    x = 1,171.72/29.35
  6. Step 6: Final answer
    x = 39.92

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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.