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Finding the Fourth Proportional to 94.03, 129.63 and 76.48

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Solution

The fourth proportional to 94.03, 129.63 and 76.48 is: 105.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.03 : 129.63 = 76.48 : x
  2. Step 2: Convert to fraction form
    94.03/129.63 = 76.48/x
  3. Step 3: Cross multiply
    94.03x = 129.63 × 76.48
  4. Step 4: Simplify right side
    94.03x = 9,914.07
  5. Step 5: Solve for x
    x = 9,914.07/94.03
  6. Step 6: Final answer
    x = 105.44

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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.