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Finding the Fourth Proportional to 69.41, 103.61 and 64.41

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Solution

The fourth proportional to 69.41, 103.61 and 64.41 is: 96.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.41 : 103.61 = 64.41 : x
  2. Step 2: Convert to fraction form
    69.41/103.61 = 64.41/x
  3. Step 3: Cross multiply
    69.41x = 103.61 × 64.41
  4. Step 4: Simplify right side
    69.41x = 6,673.29
  5. Step 5: Solve for x
    x = 6,673.29/69.41
  6. Step 6: Final answer
    x = 96.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.