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Finding the Fourth Proportional to 99.58, 149.41 and 41.84

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Solution

The fourth proportional to 99.58, 149.41 and 41.84 is: 62.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.58 : 149.41 = 41.84 : x
  2. Step 2: Convert to fraction form
    99.58/149.41 = 41.84/x
  3. Step 3: Cross multiply
    99.58x = 149.41 × 41.84
  4. Step 4: Simplify right side
    99.58x = 6,251.31
  5. Step 5: Solve for x
    x = 6,251.31/99.58
  6. Step 6: Final answer
    x = 62.78

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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.