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Finding the Fourth Proportional to 47.65, 65.75 and 28.24

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Solution

The fourth proportional to 47.65, 65.75 and 28.24 is: 38.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.65 : 65.75 = 28.24 : x
  2. Step 2: Convert to fraction form
    47.65/65.75 = 28.24/x
  3. Step 3: Cross multiply
    47.65x = 65.75 × 28.24
  4. Step 4: Simplify right side
    47.65x = 1,856.31
  5. Step 5: Solve for x
    x = 1,856.31/47.65
  6. Step 6: Final answer
    x = 38.96

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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.