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Finding the Fourth Proportional to 102.42, 154.22 and 75.56

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Solution

The fourth proportional to 102.42, 154.22 and 75.56 is: 113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.42 : 154.22 = 75.56 : x
  2. Step 2: Convert to fraction form
    102.42/154.22 = 75.56/x
  3. Step 3: Cross multiply
    102.42x = 154.22 × 75.56
  4. Step 4: Simplify right side
    102.42x = 11,651.71
  5. Step 5: Solve for x
    x = 11,651.71/102.42
  6. Step 6: Final answer
    x = 113.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.