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Finding the Fourth Proportional to 180.77, 249.47 and 102.07

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Solution

The fourth proportional to 180.77, 249.47 and 102.07 is: 140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.77 : 249.47 = 102.07 : x
  2. Step 2: Convert to fraction form
    180.77/249.47 = 102.07/x
  3. Step 3: Cross multiply
    180.77x = 249.47 × 102.07
  4. Step 4: Simplify right side
    180.77x = 25,463.40
  5. Step 5: Solve for x
    x = 25,463.40/180.77
  6. Step 6: Final answer
    x = 140.86

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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.