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Finding the Fourth Proportional to 99.96, 137.88 and 70.80

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Solution

The fourth proportional to 99.96, 137.88 and 70.80 is: 97.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.96 : 137.88 = 70.80 : x
  2. Step 2: Convert to fraction form
    99.96/137.88 = 70.80/x
  3. Step 3: Cross multiply
    99.96x = 137.88 × 70.80
  4. Step 4: Simplify right side
    99.96x = 9,761.90
  5. Step 5: Solve for x
    x = 9,761.90/99.96
  6. Step 6: Final answer
    x = 97.66

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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.