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Finding the Fourth Proportional to 110.14, 151.88 and 85.52

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Solution

The fourth proportional to 110.14, 151.88 and 85.52 is: 117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.14 : 151.88 = 85.52 : x
  2. Step 2: Convert to fraction form
    110.14/151.88 = 85.52/x
  3. Step 3: Cross multiply
    110.14x = 151.88 × 85.52
  4. Step 4: Simplify right side
    110.14x = 12,988.73
  5. Step 5: Solve for x
    x = 12,988.73/110.14
  6. Step 6: Final answer
    x = 117.93

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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.