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Finding the Fourth Proportional to 110.64, 152.31 and 82.97

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Solution

The fourth proportional to 110.64, 152.31 and 82.97 is: 114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.64 : 152.31 = 82.97 : x
  2. Step 2: Convert to fraction form
    110.64/152.31 = 82.97/x
  3. Step 3: Cross multiply
    110.64x = 152.31 × 82.97
  4. Step 4: Simplify right side
    110.64x = 12,637.16
  5. Step 5: Solve for x
    x = 12,637.16/110.64
  6. Step 6: Final answer
    x = 114.22

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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.