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Finding the Fourth Proportional to 142.94, 213.46 and 124.86

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Solution

The fourth proportional to 142.94, 213.46 and 124.86 is: 186.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.94 : 213.46 = 124.86 : x
  2. Step 2: Convert to fraction form
    142.94/213.46 = 124.86/x
  3. Step 3: Cross multiply
    142.94x = 213.46 × 124.86
  4. Step 4: Simplify right side
    142.94x = 26,652.62
  5. Step 5: Solve for x
    x = 26,652.62/142.94
  6. Step 6: Final answer
    x = 186.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.