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Finding the Fourth Proportional to 99.84, 137.82 and 68.74

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Solution

The fourth proportional to 99.84, 137.82 and 68.74 is: 94.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.84 : 137.82 = 68.74 : x
  2. Step 2: Convert to fraction form
    99.84/137.82 = 68.74/x
  3. Step 3: Cross multiply
    99.84x = 137.82 × 68.74
  4. Step 4: Simplify right side
    99.84x = 9,473.40
  5. Step 5: Solve for x
    x = 9,473.40/99.84
  6. Step 6: Final answer
    x = 94.89

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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.