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Finding the Fourth Proportional to 106.73, 146.34 and 96.32

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Solution

The fourth proportional to 106.73, 146.34 and 96.32 is: 132.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.73 : 146.34 = 96.32 : x
  2. Step 2: Convert to fraction form
    106.73/146.34 = 96.32/x
  3. Step 3: Cross multiply
    106.73x = 146.34 × 96.32
  4. Step 4: Simplify right side
    106.73x = 14,095.47
  5. Step 5: Solve for x
    x = 14,095.47/106.73
  6. Step 6: Final answer
    x = 132.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.