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Finding the Fourth Proportional to 40.24, 55.38 and 33.76

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Solution

The fourth proportional to 40.24, 55.38 and 33.76 is: 46.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.24 : 55.38 = 33.76 : x
  2. Step 2: Convert to fraction form
    40.24/55.38 = 33.76/x
  3. Step 3: Cross multiply
    40.24x = 55.38 × 33.76
  4. Step 4: Simplify right side
    40.24x = 1,869.63
  5. Step 5: Solve for x
    x = 1,869.63/40.24
  6. Step 6: Final answer
    x = 46.46

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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.