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Finding the Fourth Proportional to 110.21, 165.17 and 55.99

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Solution

The fourth proportional to 110.21, 165.17 and 55.99 is: 83.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.21 : 165.17 = 55.99 : x
  2. Step 2: Convert to fraction form
    110.21/165.17 = 55.99/x
  3. Step 3: Cross multiply
    110.21x = 165.17 × 55.99
  4. Step 4: Simplify right side
    110.21x = 9,247.87
  5. Step 5: Solve for x
    x = 9,247.87/110.21
  6. Step 6: Final answer
    x = 83.91

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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.