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Finding the Fourth Proportional to 117.92, 162.84 and 99.68

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Solution

The fourth proportional to 117.92, 162.84 and 99.68 is: 137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.92 : 162.84 = 99.68 : x
  2. Step 2: Convert to fraction form
    117.92/162.84 = 99.68/x
  3. Step 3: Cross multiply
    117.92x = 162.84 × 99.68
  4. Step 4: Simplify right side
    117.92x = 16,231.89
  5. Step 5: Solve for x
    x = 16,231.89/117.92
  6. Step 6: Final answer
    x = 137.65

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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.