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Finding the Fourth Proportional to 180.89, 249.64 and 101.14

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Solution

The fourth proportional to 180.89, 249.64 and 101.14 is: 139.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.89 : 249.64 = 101.14 : x
  2. Step 2: Convert to fraction form
    180.89/249.64 = 101.14/x
  3. Step 3: Cross multiply
    180.89x = 249.64 × 101.14
  4. Step 4: Simplify right side
    180.89x = 25,249.12
  5. Step 5: Solve for x
    x = 25,249.12/180.89
  6. Step 6: Final answer
    x = 139.58

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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.