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Finding the Fourth Proportional to 52.50, 78.70 and 22.09

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Solution

The fourth proportional to 52.50, 78.70 and 22.09 is: 33.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.50 : 78.70 = 22.09 : x
  2. Step 2: Convert to fraction form
    52.50/78.70 = 22.09/x
  3. Step 3: Cross multiply
    52.50x = 78.70 × 22.09
  4. Step 4: Simplify right side
    52.50x = 1,737.98
  5. Step 5: Solve for x
    x = 1,737.98/52.50
  6. Step 6: Final answer
    x = 33.10

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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.