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Finding the Fourth Proportional to 165.14, 227.90 and 99.65

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Solution

The fourth proportional to 165.14, 227.90 and 99.65 is: 137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.14 : 227.90 = 99.65 : x
  2. Step 2: Convert to fraction form
    165.14/227.90 = 99.65/x
  3. Step 3: Cross multiply
    165.14x = 227.90 × 99.65
  4. Step 4: Simplify right side
    165.14x = 22,710.24
  5. Step 5: Solve for x
    x = 22,710.24/165.14
  6. Step 6: Final answer
    x = 137.52

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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.