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Finding the Fourth Proportional to 56.46, 84.72 and 22.24

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Solution

The fourth proportional to 56.46, 84.72 and 22.24 is: 33.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.46 : 84.72 = 22.24 : x
  2. Step 2: Convert to fraction form
    56.46/84.72 = 22.24/x
  3. Step 3: Cross multiply
    56.46x = 84.72 × 22.24
  4. Step 4: Simplify right side
    56.46x = 1,884.17
  5. Step 5: Solve for x
    x = 1,884.17/56.46
  6. Step 6: Final answer
    x = 33.37

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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.