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Finding the Fourth Proportional to 146.72, 202.38 and 105.32

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Solution

The fourth proportional to 146.72, 202.38 and 105.32 is: 145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.72 : 202.38 = 105.32 : x
  2. Step 2: Convert to fraction form
    146.72/202.38 = 105.32/x
  3. Step 3: Cross multiply
    146.72x = 202.38 × 105.32
  4. Step 4: Simplify right side
    146.72x = 21,314.66
  5. Step 5: Solve for x
    x = 21,314.66/146.72
  6. Step 6: Final answer
    x = 145.27

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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.