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Finding the Fourth Proportional to 99.63, 149.33 and 41.85

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Solution

The fourth proportional to 99.63, 149.33 and 41.85 is: 62.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.63 : 149.33 = 41.85 : x
  2. Step 2: Convert to fraction form
    99.63/149.33 = 41.85/x
  3. Step 3: Cross multiply
    99.63x = 149.33 × 41.85
  4. Step 4: Simplify right side
    99.63x = 6,249.25
  5. Step 5: Solve for x
    x = 6,249.25/99.63
  6. Step 6: Final answer
    x = 62.72

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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.