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Finding the Fourth Proportional to 165.27, 248.06 and 73.99

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Solution

The fourth proportional to 165.27, 248.06 and 73.99 is: 111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.27 : 248.06 = 73.99 : x
  2. Step 2: Convert to fraction form
    165.27/248.06 = 73.99/x
  3. Step 3: Cross multiply
    165.27x = 248.06 × 73.99
  4. Step 4: Simplify right side
    165.27x = 18,353.76
  5. Step 5: Solve for x
    x = 18,353.76/165.27
  6. Step 6: Final answer
    x = 111.06

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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.