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Finding the Fourth Proportional to 110.87, 165.66 and 96.98

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Solution

The fourth proportional to 110.87, 165.66 and 96.98 is: 144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.87 : 165.66 = 96.98 : x
  2. Step 2: Convert to fraction form
    110.87/165.66 = 96.98/x
  3. Step 3: Cross multiply
    110.87x = 165.66 × 96.98
  4. Step 4: Simplify right side
    110.87x = 16,065.06
  5. Step 5: Solve for x
    x = 16,065.06/110.87
  6. Step 6: Final answer
    x = 144.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.