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Finding the Fourth Proportional to 124.64, 187.02 and 106.82

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Solution

The fourth proportional to 124.64, 187.02 and 106.82 is: 160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.64 : 187.02 = 106.82 : x
  2. Step 2: Convert to fraction form
    124.64/187.02 = 106.82/x
  3. Step 3: Cross multiply
    124.64x = 187.02 × 106.82
  4. Step 4: Simplify right side
    124.64x = 19,976.54
  5. Step 5: Solve for x
    x = 19,976.54/124.64
  6. Step 6: Final answer
    x = 160.28

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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.