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Finding the Fourth Proportional to 180.84, 249.53 and 107.13

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Solution

The fourth proportional to 180.84, 249.53 and 107.13 is: 147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.84 : 249.53 = 107.13 : x
  2. Step 2: Convert to fraction form
    180.84/249.53 = 107.13/x
  3. Step 3: Cross multiply
    180.84x = 249.53 × 107.13
  4. Step 4: Simplify right side
    180.84x = 26,732.42
  5. Step 5: Solve for x
    x = 26,732.42/180.84
  6. Step 6: Final answer
    x = 147.82

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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.