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Finding the Fourth Proportional to 76.48, 104.90 and 74.68

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Solution

The fourth proportional to 76.48, 104.90 and 74.68 is: 102.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.48 : 104.90 = 74.68 : x
  2. Step 2: Convert to fraction form
    76.48/104.90 = 74.68/x
  3. Step 3: Cross multiply
    76.48x = 104.90 × 74.68
  4. Step 4: Simplify right side
    76.48x = 7,833.93
  5. Step 5: Solve for x
    x = 7,833.93/76.48
  6. Step 6: Final answer
    x = 102.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.