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Finding the Fourth Proportional to 47.36, 71.02 and 35.91

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Solution

The fourth proportional to 47.36, 71.02 and 35.91 is: 53.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.36 : 71.02 = 35.91 : x
  2. Step 2: Convert to fraction form
    47.36/71.02 = 35.91/x
  3. Step 3: Cross multiply
    47.36x = 71.02 × 35.91
  4. Step 4: Simplify right side
    47.36x = 2,550.33
  5. Step 5: Solve for x
    x = 2,550.33/47.36
  6. Step 6: Final answer
    x = 53.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.