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Finding the Fourth Proportional to 69.66, 103.75 and 65.21

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Solution

The fourth proportional to 69.66, 103.75 and 65.21 is: 97.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.66 : 103.75 = 65.21 : x
  2. Step 2: Convert to fraction form
    69.66/103.75 = 65.21/x
  3. Step 3: Cross multiply
    69.66x = 103.75 × 65.21
  4. Step 4: Simplify right side
    69.66x = 6,764.86
  5. Step 5: Solve for x
    x = 6,764.86/69.66
  6. Step 6: Final answer
    x = 97.11

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