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Finding the Fourth Proportional to 36.18, 49.87 and 27.00

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Solution

The fourth proportional to 36.18, 49.87 and 27.00 is: 37.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.18 : 49.87 = 27.00 : x
  2. Step 2: Convert to fraction form
    36.18/49.87 = 27.00/x
  3. Step 3: Cross multiply
    36.18x = 49.87 × 27.00
  4. Step 4: Simplify right side
    36.18x = 1,346.11
  5. Step 5: Solve for x
    x = 1,346.11/36.18
  6. Step 6: Final answer
    x = 37.21

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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.