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Finding the Fourth Proportional to 162.78, 224.64 and 97.26

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Solution

The fourth proportional to 162.78, 224.64 and 97.26 is: 134.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.78 : 224.64 = 97.26 : x
  2. Step 2: Convert to fraction form
    162.78/224.64 = 97.26/x
  3. Step 3: Cross multiply
    162.78x = 224.64 × 97.26
  4. Step 4: Simplify right side
    162.78x = 21,848.49
  5. Step 5: Solve for x
    x = 21,848.49/162.78
  6. Step 6: Final answer
    x = 134.22

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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.