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Finding the Fourth Proportional to 146.52, 219.78 and 106.02

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Solution

The fourth proportional to 146.52, 219.78 and 106.02 is: 159.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.52 : 219.78 = 106.02 : x
  2. Step 2: Convert to fraction form
    146.52/219.78 = 106.02/x
  3. Step 3: Cross multiply
    146.52x = 219.78 × 106.02
  4. Step 4: Simplify right side
    146.52x = 23,301.08
  5. Step 5: Solve for x
    x = 23,301.08/146.52
  6. Step 6: Final answer
    x = 159.03

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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.