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Finding the Fourth Proportional to 162.92, 224.83 and 89.24

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Solution

The fourth proportional to 162.92, 224.83 and 89.24 is: 123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.92 : 224.83 = 89.24 : x
  2. Step 2: Convert to fraction form
    162.92/224.83 = 89.24/x
  3. Step 3: Cross multiply
    162.92x = 224.83 × 89.24
  4. Step 4: Simplify right side
    162.92x = 20,062.26
  5. Step 5: Solve for x
    x = 20,062.26/162.92
  6. Step 6: Final answer
    x = 123.15

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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.