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Finding the Fourth Proportional to 76.56, 106.11 and 75.12

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Solution

The fourth proportional to 76.56, 106.11 and 75.12 is: 104.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.56 : 106.11 = 75.12 : x
  2. Step 2: Convert to fraction form
    76.56/106.11 = 75.12/x
  3. Step 3: Cross multiply
    76.56x = 106.11 × 75.12
  4. Step 4: Simplify right side
    76.56x = 7,970.98
  5. Step 5: Solve for x
    x = 7,970.98/76.56
  6. Step 6: Final answer
    x = 104.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.