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Finding the Fourth Proportional to 75.72, 113.82 and 69.32

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Solution

The fourth proportional to 75.72, 113.82 and 69.32 is: 104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.72 : 113.82 = 69.32 : x
  2. Step 2: Convert to fraction form
    75.72/113.82 = 69.32/x
  3. Step 3: Cross multiply
    75.72x = 113.82 × 69.32
  4. Step 4: Simplify right side
    75.72x = 7,890.00
  5. Step 5: Solve for x
    x = 7,890.00/75.72
  6. Step 6: Final answer
    x = 104.20

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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.