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Finding the Fourth Proportional to 165.10, 227.82 and 106.06

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Solution

The fourth proportional to 165.10, 227.82 and 106.06 is: 146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.10 : 227.82 = 106.06 : x
  2. Step 2: Convert to fraction form
    165.10/227.82 = 106.06/x
  3. Step 3: Cross multiply
    165.10x = 227.82 × 106.06
  4. Step 4: Simplify right side
    165.10x = 24,162.59
  5. Step 5: Solve for x
    x = 24,162.59/165.10
  6. Step 6: Final answer
    x = 146.35

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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.