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Finding the Fourth Proportional to 56.21, 84.15 and 36.97

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Solution

The fourth proportional to 56.21, 84.15 and 36.97 is: 55.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.21 : 84.15 = 36.97 : x
  2. Step 2: Convert to fraction form
    56.21/84.15 = 36.97/x
  3. Step 3: Cross multiply
    56.21x = 84.15 × 36.97
  4. Step 4: Simplify right side
    56.21x = 3,110.82
  5. Step 5: Solve for x
    x = 3,110.82/56.21
  6. Step 6: Final answer
    x = 55.35

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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.