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Finding the Fourth Proportional to 73.66, 109.97 and 69.16

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Solution

The fourth proportional to 73.66, 109.97 and 69.16 is: 103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.66 : 109.97 = 69.16 : x
  2. Step 2: Convert to fraction form
    73.66/109.97 = 69.16/x
  3. Step 3: Cross multiply
    73.66x = 109.97 × 69.16
  4. Step 4: Simplify right side
    73.66x = 7,605.53
  5. Step 5: Solve for x
    x = 7,605.53/73.66
  6. Step 6: Final answer
    x = 103.25

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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.