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Finding the Fourth Proportional to 162.93, 224.81 and 96.56

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Solution

The fourth proportional to 162.93, 224.81 and 96.56 is: 133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.93 : 224.81 = 96.56 : x
  2. Step 2: Convert to fraction form
    162.93/224.81 = 96.56/x
  3. Step 3: Cross multiply
    162.93x = 224.81 × 96.56
  4. Step 4: Simplify right side
    162.93x = 21,706.05
  5. Step 5: Solve for x
    x = 21,706.05/162.93
  6. Step 6: Final answer
    x = 133.22

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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.