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Finding the Fourth Proportional to 162.94, 224.86 and 97.43

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Solution

The fourth proportional to 162.94, 224.86 and 97.43 is: 134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.94 : 224.86 = 97.43 : x
  2. Step 2: Convert to fraction form
    162.94/224.86 = 97.43/x
  3. Step 3: Cross multiply
    162.94x = 224.86 × 97.43
  4. Step 4: Simplify right side
    162.94x = 21,908.11
  5. Step 5: Solve for x
    x = 21,908.11/162.94
  6. Step 6: Final answer
    x = 134.46

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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.