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Finding the Fourth Proportional to 47.09, 64.90 and 37.91

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Solution

The fourth proportional to 47.09, 64.90 and 37.91 is: 52.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.09 : 64.90 = 37.91 : x
  2. Step 2: Convert to fraction form
    47.09/64.90 = 37.91/x
  3. Step 3: Cross multiply
    47.09x = 64.90 × 37.91
  4. Step 4: Simplify right side
    47.09x = 2,460.36
  5. Step 5: Solve for x
    x = 2,460.36/47.09
  6. Step 6: Final answer
    x = 52.25

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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.