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Finding the Fourth Proportional to 56.48, 84.78 and 52.22

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Solution

The fourth proportional to 56.48, 84.78 and 52.22 is: 78.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.48 : 84.78 = 52.22 : x
  2. Step 2: Convert to fraction form
    56.48/84.78 = 52.22/x
  3. Step 3: Cross multiply
    56.48x = 84.78 × 52.22
  4. Step 4: Simplify right side
    56.48x = 4,427.42
  5. Step 5: Solve for x
    x = 4,427.42/56.48
  6. Step 6: Final answer
    x = 78.40

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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.