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Finding the Fourth Proportional to 40.97, 56.46 and 29.33

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Solution

The fourth proportional to 40.97, 56.46 and 29.33 is: 40.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.97 : 56.46 = 29.33 : x
  2. Step 2: Convert to fraction form
    40.97/56.46 = 29.33/x
  3. Step 3: Cross multiply
    40.97x = 56.46 × 29.33
  4. Step 4: Simplify right side
    40.97x = 1,655.69
  5. Step 5: Solve for x
    x = 1,655.69/40.97
  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.