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Finding the Fourth Proportional to 47.68, 65.82 and 35.36

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Solution

The fourth proportional to 47.68, 65.82 and 35.36 is: 48.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.68 : 65.82 = 35.36 : x
  2. Step 2: Convert to fraction form
    47.68/65.82 = 35.36/x
  3. Step 3: Cross multiply
    47.68x = 65.82 × 35.36
  4. Step 4: Simplify right side
    47.68x = 2,327.40
  5. Step 5: Solve for x
    x = 2,327.40/47.68
  6. Step 6: Final answer
    x = 48.81

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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.