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Finding the Fourth Proportional to 47.22, 65.15 and 27.27

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Solution

The fourth proportional to 47.22, 65.15 and 27.27 is: 37.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.22 : 65.15 = 27.27 : x
  2. Step 2: Convert to fraction form
    47.22/65.15 = 27.27/x
  3. Step 3: Cross multiply
    47.22x = 65.15 × 27.27
  4. Step 4: Simplify right side
    47.22x = 1,776.50
  5. Step 5: Solve for x
    x = 1,776.50/47.22
  6. Step 6: Final answer
    x = 37.62

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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.