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Finding the Fourth Proportional to 180.14, 248.47 and 124.79

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Solution

The fourth proportional to 180.14, 248.47 and 124.79 is: 172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.14 : 248.47 = 124.79 : x
  2. Step 2: Convert to fraction form
    180.14/248.47 = 124.79/x
  3. Step 3: Cross multiply
    180.14x = 248.47 × 124.79
  4. Step 4: Simplify right side
    180.14x = 31,005.02
  5. Step 5: Solve for x
    x = 31,005.02/180.14
  6. Step 6: Final answer
    x = 172.12

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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.