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Finding the Fourth Proportional to 162.74, 224.61 and 97.22

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Solution

The fourth proportional to 162.74, 224.61 and 97.22 is: 134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.74 : 224.61 = 97.22 : x
  2. Step 2: Convert to fraction form
    162.74/224.61 = 97.22/x
  3. Step 3: Cross multiply
    162.74x = 224.61 × 97.22
  4. Step 4: Simplify right side
    162.74x = 21,835.46
  5. Step 5: Solve for x
    x = 21,835.46/162.74
  6. Step 6: Final answer
    x = 134.18

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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.