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Finding the Fourth Proportional to 162.31, 224.14 and 104.19

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Solution

The fourth proportional to 162.31, 224.14 and 104.19 is: 143.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.31 : 224.14 = 104.19 : x
  2. Step 2: Convert to fraction form
    162.31/224.14 = 104.19/x
  3. Step 3: Cross multiply
    162.31x = 224.14 × 104.19
  4. Step 4: Simplify right side
    162.31x = 23,352.63
  5. Step 5: Solve for x
    x = 23,352.63/162.31
  6. Step 6: Final answer
    x = 143.88

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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.