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Finding the Fourth Proportional to 99.84, 137.82 and 61.05

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Solution

The fourth proportional to 99.84, 137.82 and 61.05 is: 84.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.84 : 137.82 = 61.05 : x
  2. Step 2: Convert to fraction form
    99.84/137.82 = 61.05/x
  3. Step 3: Cross multiply
    99.84x = 137.82 × 61.05
  4. Step 4: Simplify right side
    99.84x = 8,413.91
  5. Step 5: Solve for x
    x = 8,413.91/99.84
  6. Step 6: Final answer
    x = 84.27

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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.