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Finding the Fourth Proportional to 40.90, 56.09 and 40.24

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Solution

The fourth proportional to 40.90, 56.09 and 40.24 is: 55.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.90 : 56.09 = 40.24 : x
  2. Step 2: Convert to fraction form
    40.90/56.09 = 40.24/x
  3. Step 3: Cross multiply
    40.90x = 56.09 × 40.24
  4. Step 4: Simplify right side
    40.90x = 2,257.06
  5. Step 5: Solve for x
    x = 2,257.06/40.90
  6. Step 6: Final answer
    x = 55.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.