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Finding the Fourth Proportional to 52.09, 78.20 and 28.06

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Solution

The fourth proportional to 52.09, 78.20 and 28.06 is: 42.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.09 : 78.20 = 28.06 : x
  2. Step 2: Convert to fraction form
    52.09/78.20 = 28.06/x
  3. Step 3: Cross multiply
    52.09x = 78.20 × 28.06
  4. Step 4: Simplify right side
    52.09x = 2,194.36
  5. Step 5: Solve for x
    x = 2,194.36/52.09
  6. Step 6: Final answer
    x = 42.13

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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.