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Finding the Fourth Proportional to 56.22, 84.76 and 53.28

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Solution

The fourth proportional to 56.22, 84.76 and 53.28 is: 80.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.22 : 84.76 = 53.28 : x
  2. Step 2: Convert to fraction form
    56.22/84.76 = 53.28/x
  3. Step 3: Cross multiply
    56.22x = 84.76 × 53.28
  4. Step 4: Simplify right side
    56.22x = 4,516.01
  5. Step 5: Solve for x
    x = 4,516.01/56.22
  6. Step 6: Final answer
    x = 80.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.