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Finding the Fourth Proportional to 99.46, 137.09 and 69.96

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Solution

The fourth proportional to 99.46, 137.09 and 69.96 is: 96.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.46 : 137.09 = 69.96 : x
  2. Step 2: Convert to fraction form
    99.46/137.09 = 69.96/x
  3. Step 3: Cross multiply
    99.46x = 137.09 × 69.96
  4. Step 4: Simplify right side
    99.46x = 9,590.82
  5. Step 5: Solve for x
    x = 9,590.82/99.46
  6. Step 6: Final answer
    x = 96.43

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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.