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Finding the Fourth Proportional to 105.93, 159.21 and 57.87

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Solution

The fourth proportional to 105.93, 159.21 and 57.87 is: 86.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.93 : 159.21 = 57.87 : x
  2. Step 2: Convert to fraction form
    105.93/159.21 = 57.87/x
  3. Step 3: Cross multiply
    105.93x = 159.21 × 57.87
  4. Step 4: Simplify right side
    105.93x = 9,213.48
  5. Step 5: Solve for x
    x = 9,213.48/105.93
  6. Step 6: Final answer
    x = 86.98

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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.