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Finding the Fourth Proportional to 146.52, 202.26 and 105.18

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Solution

The fourth proportional to 146.52, 202.26 and 105.18 is: 145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.52 : 202.26 = 105.18 : x
  2. Step 2: Convert to fraction form
    146.52/202.26 = 105.18/x
  3. Step 3: Cross multiply
    146.52x = 202.26 × 105.18
  4. Step 4: Simplify right side
    146.52x = 21,273.71
  5. Step 5: Solve for x
    x = 21,273.71/146.52
  6. Step 6: Final answer
    x = 145.19

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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.