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Finding the Fourth Proportional to 124.87, 172.37 and 83.41

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Solution

The fourth proportional to 124.87, 172.37 and 83.41 is: 115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.87 : 172.37 = 83.41 : x
  2. Step 2: Convert to fraction form
    124.87/172.37 = 83.41/x
  3. Step 3: Cross multiply
    124.87x = 172.37 × 83.41
  4. Step 4: Simplify right side
    124.87x = 14,376.53
  5. Step 5: Solve for x
    x = 14,376.53/124.87
  6. Step 6: Final answer
    x = 115.13

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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.