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Finding the Fourth Proportional to 40.48, 55.83 and 36.88

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Solution

The fourth proportional to 40.48, 55.83 and 36.88 is: 50.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.48 : 55.83 = 36.88 : x
  2. Step 2: Convert to fraction form
    40.48/55.83 = 36.88/x
  3. Step 3: Cross multiply
    40.48x = 55.83 × 36.88
  4. Step 4: Simplify right side
    40.48x = 2,059.01
  5. Step 5: Solve for x
    x = 2,059.01/40.48
  6. Step 6: Final answer
    x = 50.86

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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.