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Finding the Fourth Proportional to 165.06, 247.37 and 67.46

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Solution

The fourth proportional to 165.06, 247.37 and 67.46 is: 101.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.06 : 247.37 = 67.46 : x
  2. Step 2: Convert to fraction form
    165.06/247.37 = 67.46/x
  3. Step 3: Cross multiply
    165.06x = 247.37 × 67.46
  4. Step 4: Simplify right side
    165.06x = 16,686.01
  5. Step 5: Solve for x
    x = 16,686.01/165.06
  6. Step 6: Final answer
    x = 101.09

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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.