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Finding the Fourth Proportional to 94.14, 129.90 and 59.64

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Solution

The fourth proportional to 94.14, 129.90 and 59.64 is: 82.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.14 : 129.90 = 59.64 : x
  2. Step 2: Convert to fraction form
    94.14/129.90 = 59.64/x
  3. Step 3: Cross multiply
    94.14x = 129.90 × 59.64
  4. Step 4: Simplify right side
    94.14x = 7,747.24
  5. Step 5: Solve for x
    x = 7,747.24/94.14
  6. Step 6: Final answer
    x = 82.29

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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.