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Finding the Fourth Proportional to 110.97, 153.09 and 64.31

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Solution

The fourth proportional to 110.97, 153.09 and 64.31 is: 88.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.97 : 153.09 = 64.31 : x
  2. Step 2: Convert to fraction form
    110.97/153.09 = 64.31/x
  3. Step 3: Cross multiply
    110.97x = 153.09 × 64.31
  4. Step 4: Simplify right side
    110.97x = 9,845.60
  5. Step 5: Solve for x
    x = 9,845.60/110.97
  6. Step 6: Final answer
    x = 88.72

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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.