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Finding the Fourth Proportional to 94.09, 129.85 and 54.75

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Solution

The fourth proportional to 94.09, 129.85 and 54.75 is: 75.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.09 : 129.85 = 54.75 : x
  2. Step 2: Convert to fraction form
    94.09/129.85 = 54.75/x
  3. Step 3: Cross multiply
    94.09x = 129.85 × 54.75
  4. Step 4: Simplify right side
    94.09x = 7,109.82
  5. Step 5: Solve for x
    x = 7,109.82/94.09
  6. Step 6: Final answer
    x = 75.56

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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.