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Finding the Fourth Proportional to 84.02, 126.04 and 37.76

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Solution

The fourth proportional to 84.02, 126.04 and 37.76 is: 56.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.02 : 126.04 = 37.76 : x
  2. Step 2: Convert to fraction form
    84.02/126.04 = 37.76/x
  3. Step 3: Cross multiply
    84.02x = 126.04 × 37.76
  4. Step 4: Simplify right side
    84.02x = 4,759.27
  5. Step 5: Solve for x
    x = 4,759.27/84.02
  6. Step 6: Final answer
    x = 56.64

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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.