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Finding the Fourth Proportional to 162.82, 224.68 and 89.14

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Solution

The fourth proportional to 162.82, 224.68 and 89.14 is: 123.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.82 : 224.68 = 89.14 : x
  2. Step 2: Convert to fraction form
    162.82/224.68 = 89.14/x
  3. Step 3: Cross multiply
    162.82x = 224.68 × 89.14
  4. Step 4: Simplify right side
    162.82x = 20,027.98
  5. Step 5: Solve for x
    x = 20,027.98/162.82
  6. Step 6: Final answer
    x = 123.01

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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.