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Finding the Fourth Proportional to 69.96, 105 and 57.06

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Solution

The fourth proportional to 69.96, 105 and 57.06 is: 85.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.96 : 105 = 57.06 : x
  2. Step 2: Convert to fraction form
    69.96/105 = 57.06/x
  3. Step 3: Cross multiply
    69.96x = 105 × 57.06
  4. Step 4: Simplify right side
    69.96x = 5,991.30
  5. Step 5: Solve for x
    x = 5,991.30/69.96
  6. Step 6: Final answer
    x = 85.64

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Why These Related Problems?

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