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Finding the Fourth Proportional to 52.65, 79.02 and 22.24

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Solution

The fourth proportional to 52.65, 79.02 and 22.24 is: 33.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.65 : 79.02 = 22.24 : x
  2. Step 2: Convert to fraction form
    52.65/79.02 = 22.24/x
  3. Step 3: Cross multiply
    52.65x = 79.02 × 22.24
  4. Step 4: Simplify right side
    52.65x = 1,757.21
  5. Step 5: Solve for x
    x = 1,757.21/52.65
  6. Step 6: Final answer
    x = 33.38

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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.