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Finding the Fourth Proportional to 146.52, 202.08 and 105.06

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Solution

The fourth proportional to 146.52, 202.08 and 105.06 is: 144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.52 : 202.08 = 105.06 : x
  2. Step 2: Convert to fraction form
    146.52/202.08 = 105.06/x
  3. Step 3: Cross multiply
    146.52x = 202.08 × 105.06
  4. Step 4: Simplify right side
    146.52x = 21,230.52
  5. Step 5: Solve for x
    x = 21,230.52/146.52
  6. Step 6: Final answer
    x = 144.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.