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Finding the Fourth Proportional to 47.09, 64.95 and 28.66

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Solution

The fourth proportional to 47.09, 64.95 and 28.66 is: 39.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.09 : 64.95 = 28.66 : x
  2. Step 2: Convert to fraction form
    47.09/64.95 = 28.66/x
  3. Step 3: Cross multiply
    47.09x = 64.95 × 28.66
  4. Step 4: Simplify right side
    47.09x = 1,861.47
  5. Step 5: Solve for x
    x = 1,861.47/47.09
  6. Step 6: Final answer
    x = 39.53

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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.