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Finding the Fourth Proportional to 124.72, 187.64 and 119.04

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Solution

The fourth proportional to 124.72, 187.64 and 119.04 is: 179.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.72 : 187.64 = 119.04 : x
  2. Step 2: Convert to fraction form
    124.72/187.64 = 119.04/x
  3. Step 3: Cross multiply
    124.72x = 187.64 × 119.04
  4. Step 4: Simplify right side
    124.72x = 22,336.67
  5. Step 5: Solve for x
    x = 22,336.67/124.72
  6. Step 6: Final answer
    x = 179.09

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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.