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Finding the Fourth Proportional to 110.02, 165.12 and 55.94

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Solution

The fourth proportional to 110.02, 165.12 and 55.94 is: 83.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.02 : 165.12 = 55.94 : x
  2. Step 2: Convert to fraction form
    110.02/165.12 = 55.94/x
  3. Step 3: Cross multiply
    110.02x = 165.12 × 55.94
  4. Step 4: Simplify right side
    110.02x = 9,236.81
  5. Step 5: Solve for x
    x = 9,236.81/110.02
  6. Step 6: Final answer
    x = 83.96

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Why These Related Problems?

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