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Finding the Fourth Proportional to 76.93, 114.83 and 75.49

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Solution

The fourth proportional to 76.93, 114.83 and 75.49 is: 112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.93 : 114.83 = 75.49 : x
  2. Step 2: Convert to fraction form
    76.93/114.83 = 75.49/x
  3. Step 3: Cross multiply
    76.93x = 114.83 × 75.49
  4. Step 4: Simplify right side
    76.93x = 8,668.52
  5. Step 5: Solve for x
    x = 8,668.52/76.93
  6. Step 6: Final answer
    x = 112.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.