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Finding the Fourth Proportional to 94.21, 129.99 and 54.86

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Solution

The fourth proportional to 94.21, 129.99 and 54.86 is: 75.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.21 : 129.99 = 54.86 : x
  2. Step 2: Convert to fraction form
    94.21/129.99 = 54.86/x
  3. Step 3: Cross multiply
    94.21x = 129.99 × 54.86
  4. Step 4: Simplify right side
    94.21x = 7,131.25
  5. Step 5: Solve for x
    x = 7,131.25/94.21
  6. Step 6: Final answer
    x = 75.70

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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.