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Finding the Fourth Proportional to 76.37, 113.99 and 69.95

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Solution

The fourth proportional to 76.37, 113.99 and 69.95 is: 104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.37 : 113.99 = 69.95 : x
  2. Step 2: Convert to fraction form
    76.37/113.99 = 69.95/x
  3. Step 3: Cross multiply
    76.37x = 113.99 × 69.95
  4. Step 4: Simplify right side
    76.37x = 7,973.54
  5. Step 5: Solve for x
    x = 7,973.54/76.37
  6. Step 6: Final answer
    x = 104.41

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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.