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Finding the Fourth Proportional to 162.24, 223.86 and 96.75

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Solution

The fourth proportional to 162.24, 223.86 and 96.75 is: 133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.24 : 223.86 = 96.75 : x
  2. Step 2: Convert to fraction form
    162.24/223.86 = 96.75/x
  3. Step 3: Cross multiply
    162.24x = 223.86 × 96.75
  4. Step 4: Simplify right side
    162.24x = 21,658.46
  5. Step 5: Solve for x
    x = 21,658.46/162.24
  6. Step 6: Final answer
    x = 133.50

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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.