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Finding the Fourth Proportional to 124.85, 172.37 and 78.29

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Solution

The fourth proportional to 124.85, 172.37 and 78.29 is: 108.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.85 : 172.37 = 78.29 : x
  2. Step 2: Convert to fraction form
    124.85/172.37 = 78.29/x
  3. Step 3: Cross multiply
    124.85x = 172.37 × 78.29
  4. Step 4: Simplify right side
    124.85x = 13,494.85
  5. Step 5: Solve for x
    x = 13,494.85/124.85
  6. Step 6: Final answer
    x = 108.09

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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.