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Finding the Fourth Proportional to 124.22, 186.17 and 106.00

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Solution

The fourth proportional to 124.22, 186.17 and 106.00 is: 158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.22 : 186.17 = 106.00 : x
  2. Step 2: Convert to fraction form
    124.22/186.17 = 106.00/x
  3. Step 3: Cross multiply
    124.22x = 186.17 × 106.00
  4. Step 4: Simplify right side
    124.22x = 19,733.02
  5. Step 5: Solve for x
    x = 19,733.02/124.22
  6. Step 6: Final answer
    x = 158.85

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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.