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Finding the Fourth Proportional to 146.24, 201.82 and 84.07

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Solution

The fourth proportional to 146.24, 201.82 and 84.07 is: 116.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.24 : 201.82 = 84.07 : x
  2. Step 2: Convert to fraction form
    146.24/201.82 = 84.07/x
  3. Step 3: Cross multiply
    146.24x = 201.82 × 84.07
  4. Step 4: Simplify right side
    146.24x = 16,966.61
  5. Step 5: Solve for x
    x = 16,966.61/146.24
  6. Step 6: Final answer
    x = 116.02

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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.