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Finding the Fourth Proportional to 40.48, 55.83 and 24.09

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Solution

The fourth proportional to 40.48, 55.83 and 24.09 is: 33.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.48 : 55.83 = 24.09 : x
  2. Step 2: Convert to fraction form
    40.48/55.83 = 24.09/x
  3. Step 3: Cross multiply
    40.48x = 55.83 × 24.09
  4. Step 4: Simplify right side
    40.48x = 1,344.82
  5. Step 5: Solve for x
    x = 1,344.82/40.48
  6. Step 6: Final answer
    x = 33.23

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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.