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Finding the Fourth Proportional to 146.13, 201.77 and 115.20

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Solution

The fourth proportional to 146.13, 201.77 and 115.20 is: 159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.13 : 201.77 = 115.20 : x
  2. Step 2: Convert to fraction form
    146.13/201.77 = 115.20/x
  3. Step 3: Cross multiply
    146.13x = 201.77 × 115.20
  4. Step 4: Simplify right side
    146.13x = 23,243.90
  5. Step 5: Solve for x
    x = 23,243.90/146.13
  6. Step 6: Final answer
    x = 159.06

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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.