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Finding the Fourth Proportional to 76.35, 113.82 and 75.54

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Solution

The fourth proportional to 76.35, 113.82 and 75.54 is: 112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.35 : 113.82 = 75.54 : x
  2. Step 2: Convert to fraction form
    76.35/113.82 = 75.54/x
  3. Step 3: Cross multiply
    76.35x = 113.82 × 75.54
  4. Step 4: Simplify right side
    76.35x = 8,597.96
  5. Step 5: Solve for x
    x = 8,597.96/76.35
  6. Step 6: Final answer
    x = 112.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.