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Finding the Fourth Proportional to 47.77, 65.96 and 36.13

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Solution

The fourth proportional to 47.77, 65.96 and 36.13 is: 49.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.77 : 65.96 = 36.13 : x
  2. Step 2: Convert to fraction form
    47.77/65.96 = 36.13/x
  3. Step 3: Cross multiply
    47.77x = 65.96 × 36.13
  4. Step 4: Simplify right side
    47.77x = 2,383.13
  5. Step 5: Solve for x
    x = 2,383.13/47.77
  6. Step 6: Final answer
    x = 49.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.