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Finding the Fourth Proportional to 94.06, 129.74 and 59.09

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Solution

The fourth proportional to 94.06, 129.74 and 59.09 is: 81.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.06 : 129.74 = 59.09 : x
  2. Step 2: Convert to fraction form
    94.06/129.74 = 59.09/x
  3. Step 3: Cross multiply
    94.06x = 129.74 × 59.09
  4. Step 4: Simplify right side
    94.06x = 7,666.55
  5. Step 5: Solve for x
    x = 7,666.55/94.06
  6. Step 6: Final answer
    x = 81.51

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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.