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Finding the Fourth Proportional to 105.21, 157.76 and 53.88

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Solution

The fourth proportional to 105.21, 157.76 and 53.88 is: 80.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.21 : 157.76 = 53.88 : x
  2. Step 2: Convert to fraction form
    105.21/157.76 = 53.88/x
  3. Step 3: Cross multiply
    105.21x = 157.76 × 53.88
  4. Step 4: Simplify right side
    105.21x = 8,500.11
  5. Step 5: Solve for x
    x = 8,500.11/105.21
  6. Step 6: Final answer
    x = 80.79

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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.