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Finding the Fourth Proportional to 124.72, 172.06 and 81.06

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Solution

The fourth proportional to 124.72, 172.06 and 81.06 is: 111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.72 : 172.06 = 81.06 : x
  2. Step 2: Convert to fraction form
    124.72/172.06 = 81.06/x
  3. Step 3: Cross multiply
    124.72x = 172.06 × 81.06
  4. Step 4: Simplify right side
    124.72x = 13,947.18
  5. Step 5: Solve for x
    x = 13,947.18/124.72
  6. Step 6: Final answer
    x = 111.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.