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Finding the Fourth Proportional to 47.05, 64.65 and 37.82

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Solution

The fourth proportional to 47.05, 64.65 and 37.82 is: 51.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.05 : 64.65 = 37.82 : x
  2. Step 2: Convert to fraction form
    47.05/64.65 = 37.82/x
  3. Step 3: Cross multiply
    47.05x = 64.65 × 37.82
  4. Step 4: Simplify right side
    47.05x = 2,445.06
  5. Step 5: Solve for x
    x = 2,445.06/47.05
  6. Step 6: Final answer
    x = 51.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.