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Finding the Fourth Proportional to 165.12, 227.65 and 106.00

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Solution

The fourth proportional to 165.12, 227.65 and 106.00 is: 146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.12 : 227.65 = 106.00 : x
  2. Step 2: Convert to fraction form
    165.12/227.65 = 106.00/x
  3. Step 3: Cross multiply
    165.12x = 227.65 × 106.00
  4. Step 4: Simplify right side
    165.12x = 24,130.46
  5. Step 5: Solve for x
    x = 24,130.46/165.12
  6. Step 6: Final answer
    x = 146.14

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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.