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Finding the Fourth Proportional to 52.72, 78.58 and 52.22

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Solution

The fourth proportional to 52.72, 78.58 and 52.22 is: 77.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.72 : 78.58 = 52.22 : x
  2. Step 2: Convert to fraction form
    52.72/78.58 = 52.22/x
  3. Step 3: Cross multiply
    52.72x = 78.58 × 52.22
  4. Step 4: Simplify right side
    52.72x = 4,103.45
  5. Step 5: Solve for x
    x = 4,103.45/52.72
  6. Step 6: Final answer
    x = 77.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.