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Finding the Fourth Proportional to 69.14, 103.51 and 64.69

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Solution

The fourth proportional to 69.14, 103.51 and 64.69 is: 96.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.14 : 103.51 = 64.69 : x
  2. Step 2: Convert to fraction form
    69.14/103.51 = 64.69/x
  3. Step 3: Cross multiply
    69.14x = 103.51 × 64.69
  4. Step 4: Simplify right side
    69.14x = 6,696.47
  5. Step 5: Solve for x
    x = 6,696.47/69.14
  6. Step 6: Final answer
    x = 96.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.