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Finding the Fourth Proportional to 146.28, 219.50 and 59.60

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Solution

The fourth proportional to 146.28, 219.50 and 59.60 is: 89.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.28 : 219.50 = 59.60 : x
  2. Step 2: Convert to fraction form
    146.28/219.50 = 59.60/x
  3. Step 3: Cross multiply
    146.28x = 219.50 × 59.60
  4. Step 4: Simplify right side
    146.28x = 13,081.10
  5. Step 5: Solve for x
    x = 13,081.10/146.28
  6. Step 6: Final answer
    x = 89.43

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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.