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Finding the Fourth Proportional to 165.10, 227.95 and 102.94

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Solution

The fourth proportional to 165.10, 227.95 and 102.94 is: 142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.10 : 227.95 = 102.94 : x
  2. Step 2: Convert to fraction form
    165.10/227.95 = 102.94/x
  3. Step 3: Cross multiply
    165.10x = 227.95 × 102.94
  4. Step 4: Simplify right side
    165.10x = 23,464.50
  5. Step 5: Solve for x
    x = 23,464.50/165.10
  6. Step 6: Final answer
    x = 142.13

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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.