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Finding the Fourth Proportional to 36.83, 55.14 and 32.27

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Solution

The fourth proportional to 36.83, 55.14 and 32.27 is: 48.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.83 : 55.14 = 32.27 : x
  2. Step 2: Convert to fraction form
    36.83/55.14 = 32.27/x
  3. Step 3: Cross multiply
    36.83x = 55.14 × 32.27
  4. Step 4: Simplify right side
    36.83x = 1,779.18
  5. Step 5: Solve for x
    x = 1,779.18/36.83
  6. Step 6: Final answer
    x = 48.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.