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Finding the Fourth Proportional to 94.26, 141.38 and 42.90

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Solution

The fourth proportional to 94.26, 141.38 and 42.90 is: 64.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.26 : 141.38 = 42.90 : x
  2. Step 2: Convert to fraction form
    94.26/141.38 = 42.90/x
  3. Step 3: Cross multiply
    94.26x = 141.38 × 42.90
  4. Step 4: Simplify right side
    94.26x = 6,064.99
  5. Step 5: Solve for x
    x = 6,064.99/94.26
  6. Step 6: Final answer
    x = 64.34

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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.