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Finding the Fourth Proportional to 94.05, 129.77 and 54.70

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Solution

The fourth proportional to 94.05, 129.77 and 54.70 is: 75.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.05 : 129.77 = 54.70 : x
  2. Step 2: Convert to fraction form
    94.05/129.77 = 54.70/x
  3. Step 3: Cross multiply
    94.05x = 129.77 × 54.70
  4. Step 4: Simplify right side
    94.05x = 7,098.42
  5. Step 5: Solve for x
    x = 7,098.42/94.05
  6. Step 6: Final answer
    x = 75.47

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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.