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Finding the Fourth Proportional to 146.54, 219.81 and 59.85

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Solution

The fourth proportional to 146.54, 219.81 and 59.85 is: 89.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.54 : 219.81 = 59.85 : x
  2. Step 2: Convert to fraction form
    146.54/219.81 = 59.85/x
  3. Step 3: Cross multiply
    146.54x = 219.81 × 59.85
  4. Step 4: Simplify right side
    146.54x = 13,155.52
  5. Step 5: Solve for x
    x = 13,155.52/146.54
  6. Step 6: Final answer
    x = 89.77

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Why These Related Problems?

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