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Finding the Fourth Proportional to 106.56, 159.84 and 75.78

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Solution

The fourth proportional to 106.56, 159.84 and 75.78 is: 113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.56 : 159.84 = 75.78 : x
  2. Step 2: Convert to fraction form
    106.56/159.84 = 75.78/x
  3. Step 3: Cross multiply
    106.56x = 159.84 × 75.78
  4. Step 4: Simplify right side
    106.56x = 12,112.68
  5. Step 5: Solve for x
    x = 12,112.68/106.56
  6. Step 6: Final answer
    x = 113.67

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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.