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Finding the Fourth Proportional to 94.96, 130.96 and 76.56

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Solution

The fourth proportional to 94.96, 130.96 and 76.56 is: 105.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.96 : 130.96 = 76.56 : x
  2. Step 2: Convert to fraction form
    94.96/130.96 = 76.56/x
  3. Step 3: Cross multiply
    94.96x = 130.96 × 76.56
  4. Step 4: Simplify right side
    94.96x = 10,026.30
  5. Step 5: Solve for x
    x = 10,026.30/94.96
  6. Step 6: Final answer
    x = 105.58

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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.