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Finding the Fourth Proportional to 47.89, 71.79 and 36.45

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Solution

The fourth proportional to 47.89, 71.79 and 36.45 is: 54.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.89 : 71.79 = 36.45 : x
  2. Step 2: Convert to fraction form
    47.89/71.79 = 36.45/x
  3. Step 3: Cross multiply
    47.89x = 71.79 × 36.45
  4. Step 4: Simplify right side
    47.89x = 2,616.74
  5. Step 5: Solve for x
    x = 2,616.74/47.89
  6. Step 6: Final answer
    x = 54.64

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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.