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Finding the Fourth Proportional to 76.11, 104.57 and 68.01

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Solution

The fourth proportional to 76.11, 104.57 and 68.01 is: 93.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.11 : 104.57 = 68.01 : x
  2. Step 2: Convert to fraction form
    76.11/104.57 = 68.01/x
  3. Step 3: Cross multiply
    76.11x = 104.57 × 68.01
  4. Step 4: Simplify right side
    76.11x = 7,111.47
  5. Step 5: Solve for x
    x = 7,111.47/76.11
  6. Step 6: Final answer
    x = 93.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.