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Finding the Fourth Proportional to 162.83, 224.69 and 96.45

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Solution

The fourth proportional to 162.83, 224.69 and 96.45 is: 133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.83 : 224.69 = 96.45 : x
  2. Step 2: Convert to fraction form
    162.83/224.69 = 96.45/x
  3. Step 3: Cross multiply
    162.83x = 224.69 × 96.45
  4. Step 4: Simplify right side
    162.83x = 21,670.87
  5. Step 5: Solve for x
    x = 21,670.87/162.83
  6. Step 6: Final answer
    x = 133.09

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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.