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Finding the Fourth Proportional to 165.08, 227.70 and 116.06

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Solution

The fourth proportional to 165.08, 227.70 and 116.06 is: 160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.08 : 227.70 = 116.06 : x
  2. Step 2: Convert to fraction form
    165.08/227.70 = 116.06/x
  3. Step 3: Cross multiply
    165.08x = 227.70 × 116.06
  4. Step 4: Simplify right side
    165.08x = 26,426.86
  5. Step 5: Solve for x
    x = 26,426.86/165.08
  6. Step 6: Final answer
    x = 160.09

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Why These Related Problems?

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