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Finding the Fourth Proportional to 165.68, 248.08 and 107.74

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Solution

The fourth proportional to 165.68, 248.08 and 107.74 is: 161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.68 : 248.08 = 107.74 : x
  2. Step 2: Convert to fraction form
    165.68/248.08 = 107.74/x
  3. Step 3: Cross multiply
    165.68x = 248.08 × 107.74
  4. Step 4: Simplify right side
    165.68x = 26,728.14
  5. Step 5: Solve for x
    x = 26,728.14/165.68
  6. Step 6: Final answer
    x = 161.32

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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.