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Finding the Fourth Proportional to 47.75, 71.65 and 36.34

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Solution

The fourth proportional to 47.75, 71.65 and 36.34 is: 54.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.75 : 71.65 = 36.34 : x
  2. Step 2: Convert to fraction form
    47.75/71.65 = 36.34/x
  3. Step 3: Cross multiply
    47.75x = 71.65 × 36.34
  4. Step 4: Simplify right side
    47.75x = 2,603.76
  5. Step 5: Solve for x
    x = 2,603.76/47.75
  6. Step 6: Final answer
    x = 54.53

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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.