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Finding the Fourth Proportional to 99.90, 149.91 and 63.86

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Solution

The fourth proportional to 99.90, 149.91 and 63.86 is: 95.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.90 : 149.91 = 63.86 : x
  2. Step 2: Convert to fraction form
    99.90/149.91 = 63.86/x
  3. Step 3: Cross multiply
    99.90x = 149.91 × 63.86
  4. Step 4: Simplify right side
    99.90x = 9,573.25
  5. Step 5: Solve for x
    x = 9,573.25/99.90
  6. Step 6: Final answer
    x = 95.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.