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Finding the Fourth Proportional to 59.22, 81.74 and 52.33

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Solution

The fourth proportional to 59.22, 81.74 and 52.33 is: 72.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.22 : 81.74 = 52.33 : x
  2. Step 2: Convert to fraction form
    59.22/81.74 = 52.33/x
  3. Step 3: Cross multiply
    59.22x = 81.74 × 52.33
  4. Step 4: Simplify right side
    59.22x = 4,277.45
  5. Step 5: Solve for x
    x = 4,277.45/59.22
  6. Step 6: Final answer
    x = 72.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.