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Finding the Fourth Proportional to 47.05, 64.87 and 37.19

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Solution

The fourth proportional to 47.05, 64.87 and 37.19 is: 51.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.05 : 64.87 = 37.19 : x
  2. Step 2: Convert to fraction form
    47.05/64.87 = 37.19/x
  3. Step 3: Cross multiply
    47.05x = 64.87 × 37.19
  4. Step 4: Simplify right side
    47.05x = 2,412.58
  5. Step 5: Solve for x
    x = 2,412.58/47.05
  6. Step 6: Final answer
    x = 51.28

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Why These Related Problems?

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