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Finding the Fourth Proportional to 162.92, 224.61 and 97.40

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Solution

The fourth proportional to 162.92, 224.61 and 97.40 is: 134.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.92 : 224.61 = 97.40 : x
  2. Step 2: Convert to fraction form
    162.92/224.61 = 97.40/x
  3. Step 3: Cross multiply
    162.92x = 224.61 × 97.40
  4. Step 4: Simplify right side
    162.92x = 21,875.89
  5. Step 5: Solve for x
    x = 21,875.89/162.92
  6. Step 6: Final answer
    x = 134.28

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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.