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Finding the Fourth Proportional to 94.14, 130.06 and 75.84

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Solution

The fourth proportional to 94.14, 130.06 and 75.84 is: 104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.14 : 130.06 = 75.84 : x
  2. Step 2: Convert to fraction form
    94.14/130.06 = 75.84/x
  3. Step 3: Cross multiply
    94.14x = 130.06 × 75.84
  4. Step 4: Simplify right side
    94.14x = 9,863.75
  5. Step 5: Solve for x
    x = 9,863.75/94.14
  6. Step 6: Final answer
    x = 104.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.