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Finding the Fourth Proportional to 109.64, 151.28 and 68.19

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Solution

The fourth proportional to 109.64, 151.28 and 68.19 is: 94.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.64 : 151.28 = 68.19 : x
  2. Step 2: Convert to fraction form
    109.64/151.28 = 68.19/x
  3. Step 3: Cross multiply
    109.64x = 151.28 × 68.19
  4. Step 4: Simplify right side
    109.64x = 10,315.44
  5. Step 5: Solve for x
    x = 10,315.44/109.64
  6. Step 6: Final answer
    x = 94.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.