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Finding the Fourth Proportional to 64.11, 88.47 and 41.97

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Solution

The fourth proportional to 64.11, 88.47 and 41.97 is: 57.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.11 : 88.47 = 41.97 : x
  2. Step 2: Convert to fraction form
    64.11/88.47 = 41.97/x
  3. Step 3: Cross multiply
    64.11x = 88.47 × 41.97
  4. Step 4: Simplify right side
    64.11x = 3,713.09
  5. Step 5: Solve for x
    x = 3,713.09/64.11
  6. Step 6: Final answer
    x = 57.92

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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.