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Finding the Fourth Proportional to 52.22, 77.97 and 44.60

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Solution

The fourth proportional to 52.22, 77.97 and 44.60 is: 66.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.22 : 77.97 = 44.60 : x
  2. Step 2: Convert to fraction form
    52.22/77.97 = 44.60/x
  3. Step 3: Cross multiply
    52.22x = 77.97 × 44.60
  4. Step 4: Simplify right side
    52.22x = 3,477.07
  5. Step 5: Solve for x
    x = 3,477.07/52.22
  6. Step 6: Final answer
    x = 66.59

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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.