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Finding the Fourth Proportional to 56.20, 84.26 and 24.16

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Solution

The fourth proportional to 56.20, 84.26 and 24.16 is: 36.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.20 : 84.26 = 24.16 : x
  2. Step 2: Convert to fraction form
    56.20/84.26 = 24.16/x
  3. Step 3: Cross multiply
    56.20x = 84.26 × 24.16
  4. Step 4: Simplify right side
    56.20x = 2,035.72
  5. Step 5: Solve for x
    x = 2,035.72/56.20
  6. Step 6: Final answer
    x = 36.22

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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.