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Finding the Fourth Proportional to 59.78, 89.69 and 19.21

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Solution

The fourth proportional to 59.78, 89.69 and 19.21 is: 28.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.78 : 89.69 = 19.21 : x
  2. Step 2: Convert to fraction form
    59.78/89.69 = 19.21/x
  3. Step 3: Cross multiply
    59.78x = 89.69 × 19.21
  4. Step 4: Simplify right side
    59.78x = 1,722.70
  5. Step 5: Solve for x
    x = 1,722.70/59.78
  6. Step 6: Final answer
    x = 28.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.