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Finding the Fourth Proportional to 76.67, 106.49 and 74.51

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Solution

The fourth proportional to 76.67, 106.49 and 74.51 is: 103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.67 : 106.49 = 74.51 : x
  2. Step 2: Convert to fraction form
    76.67/106.49 = 74.51/x
  3. Step 3: Cross multiply
    76.67x = 106.49 × 74.51
  4. Step 4: Simplify right side
    76.67x = 7,934.96
  5. Step 5: Solve for x
    x = 7,934.96/76.67
  6. Step 6: Final answer
    x = 103.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.