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Finding the Fourth Proportional to 59.96, 89.78 and 39.58

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Solution

The fourth proportional to 59.96, 89.78 and 39.58 is: 59.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.96 : 89.78 = 39.58 : x
  2. Step 2: Convert to fraction form
    59.96/89.78 = 39.58/x
  3. Step 3: Cross multiply
    59.96x = 89.78 × 39.58
  4. Step 4: Simplify right side
    59.96x = 3,553.07
  5. Step 5: Solve for x
    x = 3,553.07/59.96
  6. Step 6: Final answer
    x = 59.25

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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.