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Finding the Fourth Proportional to 110.09, 151.71 and 82.35

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Solution

The fourth proportional to 110.09, 151.71 and 82.35 is: 113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.09 : 151.71 = 82.35 : x
  2. Step 2: Convert to fraction form
    110.09/151.71 = 82.35/x
  3. Step 3: Cross multiply
    110.09x = 151.71 × 82.35
  4. Step 4: Simplify right side
    110.09x = 12,493.32
  5. Step 5: Solve for x
    x = 12,493.32/110.09
  6. Step 6: Final answer
    x = 113.49

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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.