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Finding the Fourth Proportional to 110.46, 165.65 and 105.42

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Solution

The fourth proportional to 110.46, 165.65 and 105.42 is: 158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.46 : 165.65 = 105.42 : x
  2. Step 2: Convert to fraction form
    110.46/165.65 = 105.42/x
  3. Step 3: Cross multiply
    110.46x = 165.65 × 105.42
  4. Step 4: Simplify right side
    110.46x = 17,462.82
  5. Step 5: Solve for x
    x = 17,462.82/110.46
  6. Step 6: Final answer
    x = 158.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.