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Finding the Fourth Proportional to 94.13, 141.22 and 30.00

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Solution

The fourth proportional to 94.13, 141.22 and 30.00 is: 45.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.13 : 141.22 = 30.00 : x
  2. Step 2: Convert to fraction form
    94.13/141.22 = 30.00/x
  3. Step 3: Cross multiply
    94.13x = 141.22 × 30.00
  4. Step 4: Simplify right side
    94.13x = 4,236.80
  5. Step 5: Solve for x
    x = 4,236.80/94.13
  6. Step 6: Final answer
    x = 45.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.