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Finding the Fourth Proportional to 146.18, 201.77 and 96.37

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Solution

The fourth proportional to 146.18, 201.77 and 96.37 is: 133.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.18 : 201.77 = 96.37 : x
  2. Step 2: Convert to fraction form
    146.18/201.77 = 96.37/x
  3. Step 3: Cross multiply
    146.18x = 201.77 × 96.37
  4. Step 4: Simplify right side
    146.18x = 19,444.31
  5. Step 5: Solve for x
    x = 19,444.31/146.18
  6. Step 6: Final answer
    x = 133.01

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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.