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Finding the Fourth Proportional to 47.72, 65.84 and 30.48

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Solution

The fourth proportional to 47.72, 65.84 and 30.48 is: 42.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.72 : 65.84 = 30.48 : x
  2. Step 2: Convert to fraction form
    47.72/65.84 = 30.48/x
  3. Step 3: Cross multiply
    47.72x = 65.84 × 30.48
  4. Step 4: Simplify right side
    47.72x = 2,006.80
  5. Step 5: Solve for x
    x = 2,006.80/47.72
  6. Step 6: Final answer
    x = 42.05

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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.