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Finding the Fourth Proportional to 75.09, 113.14 and 68.15

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Solution

The fourth proportional to 75.09, 113.14 and 68.15 is: 102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.09 : 113.14 = 68.15 : x
  2. Step 2: Convert to fraction form
    75.09/113.14 = 68.15/x
  3. Step 3: Cross multiply
    75.09x = 113.14 × 68.15
  4. Step 4: Simplify right side
    75.09x = 7,710.48
  5. Step 5: Solve for x
    x = 7,710.48/75.09
  6. Step 6: Final answer
    x = 102.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.