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Finding the Fourth Proportional to 146.93, 201.68 and 132.35

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Solution

The fourth proportional to 146.93, 201.68 and 132.35 is: 181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.93 : 201.68 = 132.35 : x
  2. Step 2: Convert to fraction form
    146.93/201.68 = 132.35/x
  3. Step 3: Cross multiply
    146.93x = 201.68 × 132.35
  4. Step 4: Simplify right side
    146.93x = 26,690.68
  5. Step 5: Solve for x
    x = 26,690.68/146.93
  6. Step 6: Final answer
    x = 181.66

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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.