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Finding the Fourth Proportional to 165.86, 229.01 and 110.73

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Solution

The fourth proportional to 165.86, 229.01 and 110.73 is: 152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.86 : 229.01 = 110.73 : x
  2. Step 2: Convert to fraction form
    165.86/229.01 = 110.73/x
  3. Step 3: Cross multiply
    165.86x = 229.01 × 110.73
  4. Step 4: Simplify right side
    165.86x = 25,357.72
  5. Step 5: Solve for x
    x = 25,357.72/165.86
  6. Step 6: Final answer
    x = 152.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.