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Finding the Fourth Proportional to 42.19, 63.29 and 37.94

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Solution

The fourth proportional to 42.19, 63.29 and 37.94 is: 56.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.19 : 63.29 = 37.94 : x
  2. Step 2: Convert to fraction form
    42.19/63.29 = 37.94/x
  3. Step 3: Cross multiply
    42.19x = 63.29 × 37.94
  4. Step 4: Simplify right side
    42.19x = 2,401.00
  5. Step 5: Solve for x
    x = 2,401.00/42.19
  6. Step 6: Final answer
    x = 56.91

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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.