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Finding the Fourth Proportional to 94.11, 129.86 and 54.77

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Solution

The fourth proportional to 94.11, 129.86 and 54.77 is: 75.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.11 : 129.86 = 54.77 : x
  2. Step 2: Convert to fraction form
    94.11/129.86 = 54.77/x
  3. Step 3: Cross multiply
    94.11x = 129.86 × 54.77
  4. Step 4: Simplify right side
    94.11x = 7,112.43
  5. Step 5: Solve for x
    x = 7,112.43/94.11
  6. Step 6: Final answer
    x = 75.58

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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.