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Finding the Fourth Proportional to 110.09, 152.21 and 96.42

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Solution

The fourth proportional to 110.09, 152.21 and 96.42 is: 133.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.09 : 152.21 = 96.42 : x
  2. Step 2: Convert to fraction form
    110.09/152.21 = 96.42/x
  3. Step 3: Cross multiply
    110.09x = 152.21 × 96.42
  4. Step 4: Simplify right side
    110.09x = 14,676.71
  5. Step 5: Solve for x
    x = 14,676.71/110.09
  6. Step 6: Final answer
    x = 133.32

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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.