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Finding the Fourth Proportional to 75.71, 104.51 and 68.30

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Solution

The fourth proportional to 75.71, 104.51 and 68.30 is: 94.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.71 : 104.51 = 68.30 : x
  2. Step 2: Convert to fraction form
    75.71/104.51 = 68.30/x
  3. Step 3: Cross multiply
    75.71x = 104.51 × 68.30
  4. Step 4: Simplify right side
    75.71x = 7,137.17
  5. Step 5: Solve for x
    x = 7,137.17/75.71
  6. Step 6: Final answer
    x = 94.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.