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Finding the Fourth Proportional to 52.29, 78.42 and 20.22

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Solution

The fourth proportional to 52.29, 78.42 and 20.22 is: 30.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.29 : 78.42 = 20.22 : x
  2. Step 2: Convert to fraction form
    52.29/78.42 = 20.22/x
  3. Step 3: Cross multiply
    52.29x = 78.42 × 20.22
  4. Step 4: Simplify right side
    52.29x = 1,585.65
  5. Step 5: Solve for x
    x = 1,585.65/52.29
  6. Step 6: Final answer
    x = 30.32

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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.