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Finding the Fourth Proportional to 124.64, 186.36 and 120.80

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Solution

The fourth proportional to 124.64, 186.36 and 120.80 is: 180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.64 : 186.36 = 120.80 : x
  2. Step 2: Convert to fraction form
    124.64/186.36 = 120.80/x
  3. Step 3: Cross multiply
    124.64x = 186.36 × 120.80
  4. Step 4: Simplify right side
    124.64x = 22,512.29
  5. Step 5: Solve for x
    x = 22,512.29/124.64
  6. Step 6: Final answer
    x = 180.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.