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Finding the Fourth Proportional to 146.16, 201.68 and 96.38

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Solution

The fourth proportional to 146.16, 201.68 and 96.38 is: 132.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.16 : 201.68 = 96.38 : x
  2. Step 2: Convert to fraction form
    146.16/201.68 = 96.38/x
  3. Step 3: Cross multiply
    146.16x = 201.68 × 96.38
  4. Step 4: Simplify right side
    146.16x = 19,437.92
  5. Step 5: Solve for x
    x = 19,437.92/146.16
  6. Step 6: Final answer
    x = 132.99

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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.