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Finding the Fourth Proportional to 94.09, 129.78 and 57.26

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Solution

The fourth proportional to 94.09, 129.78 and 57.26 is: 78.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.09 : 129.78 = 57.26 : x
  2. Step 2: Convert to fraction form
    94.09/129.78 = 57.26/x
  3. Step 3: Cross multiply
    94.09x = 129.78 × 57.26
  4. Step 4: Simplify right side
    94.09x = 7,431.20
  5. Step 5: Solve for x
    x = 7,431.20/94.09
  6. Step 6: Final answer
    x = 78.98

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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.