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Finding the Fourth Proportional to 146.46, 219.54 and 59.78

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Solution

The fourth proportional to 146.46, 219.54 and 59.78 is: 89.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.46 : 219.54 = 59.78 : x
  2. Step 2: Convert to fraction form
    146.46/219.54 = 59.78/x
  3. Step 3: Cross multiply
    146.46x = 219.54 × 59.78
  4. Step 4: Simplify right side
    146.46x = 13,124.10
  5. Step 5: Solve for x
    x = 13,124.10/146.46
  6. Step 6: Final answer
    x = 89.61

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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.