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Finding the Fourth Proportional to 109.68, 151.28 and 85.17

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Solution

The fourth proportional to 109.68, 151.28 and 85.17 is: 117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.68 : 151.28 = 85.17 : x
  2. Step 2: Convert to fraction form
    109.68/151.28 = 85.17/x
  3. Step 3: Cross multiply
    109.68x = 151.28 × 85.17
  4. Step 4: Simplify right side
    109.68x = 12,884.52
  5. Step 5: Solve for x
    x = 12,884.52/109.68
  6. Step 6: Final answer
    x = 117.47

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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.