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Finding the Fourth Proportional to 165.40, 248.06 and 69.12

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Solution

The fourth proportional to 165.40, 248.06 and 69.12 is: 103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.40 : 248.06 = 69.12 : x
  2. Step 2: Convert to fraction form
    165.40/248.06 = 69.12/x
  3. Step 3: Cross multiply
    165.40x = 248.06 × 69.12
  4. Step 4: Simplify right side
    165.40x = 17,145.91
  5. Step 5: Solve for x
    x = 17,145.91/165.40
  6. Step 6: Final answer
    x = 103.66

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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.