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Finding the Fourth Proportional to 124.83, 172.35 and 83.39

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Solution

The fourth proportional to 124.83, 172.35 and 83.39 is: 115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.83 : 172.35 = 83.39 : x
  2. Step 2: Convert to fraction form
    124.83/172.35 = 83.39/x
  3. Step 3: Cross multiply
    124.83x = 172.35 × 83.39
  4. Step 4: Simplify right side
    124.83x = 14,371.40
  5. Step 5: Solve for x
    x = 14,371.40/124.83
  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.