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Finding the Fourth Proportional to 180.15, 248.31 and 124.86

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Solution

The fourth proportional to 180.15, 248.31 and 124.86 is: 172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.15 : 248.31 = 124.86 : x
  2. Step 2: Convert to fraction form
    180.15/248.31 = 124.86/x
  3. Step 3: Cross multiply
    180.15x = 248.31 × 124.86
  4. Step 4: Simplify right side
    180.15x = 31,003.99
  5. Step 5: Solve for x
    x = 31,003.99/180.15
  6. Step 6: Final answer
    x = 172.10

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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.