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Finding the Fourth Proportional to 59.53, 89.21 and 39.98

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Solution

The fourth proportional to 59.53, 89.21 and 39.98 is: 59.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.53 : 89.21 = 39.98 : x
  2. Step 2: Convert to fraction form
    59.53/89.21 = 39.98/x
  3. Step 3: Cross multiply
    59.53x = 89.21 × 39.98
  4. Step 4: Simplify right side
    59.53x = 3,565.97
  5. Step 5: Solve for x
    x = 3,565.97/59.53
  6. Step 6: Final answer
    x = 59.91

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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.