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Finding the Fourth Proportional to 110.03, 151.32 and 96.22

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Solution

The fourth proportional to 110.03, 151.32 and 96.22 is: 132.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.03 : 151.32 = 96.22 : x
  2. Step 2: Convert to fraction form
    110.03/151.32 = 96.22/x
  3. Step 3: Cross multiply
    110.03x = 151.32 × 96.22
  4. Step 4: Simplify right side
    110.03x = 14,559.63
  5. Step 5: Solve for x
    x = 14,559.63/110.03
  6. Step 6: Final answer
    x = 132.33

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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.