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Finding the Fourth Proportional to 40.48, 55.85 and 29.54

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Solution

The fourth proportional to 40.48, 55.85 and 29.54 is: 40.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.48 : 55.85 = 29.54 : x
  2. Step 2: Convert to fraction form
    40.48/55.85 = 29.54/x
  3. Step 3: Cross multiply
    40.48x = 55.85 × 29.54
  4. Step 4: Simplify right side
    40.48x = 1,649.80
  5. Step 5: Solve for x
    x = 1,649.80/40.48
  6. Step 6: Final answer
    x = 40.76

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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.