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Finding the Fourth Proportional to 110.67, 153.14 and 96.09

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Solution

The fourth proportional to 110.67, 153.14 and 96.09 is: 132.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.67 : 153.14 = 96.09 : x
  2. Step 2: Convert to fraction form
    110.67/153.14 = 96.09/x
  3. Step 3: Cross multiply
    110.67x = 153.14 × 96.09
  4. Step 4: Simplify right side
    110.67x = 14,714.74
  5. Step 5: Solve for x
    x = 14,714.74/110.67
  6. Step 6: Final answer
    x = 132.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.