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Finding the Fourth Proportional to 105.33, 157.89 and 74.82

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Solution

The fourth proportional to 105.33, 157.89 and 74.82 is: 112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.33 : 157.89 = 74.82 : x
  2. Step 2: Convert to fraction form
    105.33/157.89 = 74.82/x
  3. Step 3: Cross multiply
    105.33x = 157.89 × 74.82
  4. Step 4: Simplify right side
    105.33x = 11,813.33
  5. Step 5: Solve for x
    x = 11,813.33/105.33
  6. Step 6: Final answer
    x = 112.16

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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.