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Finding the Fourth Proportional to 124.93, 172.42 and 83.51

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Solution

The fourth proportional to 124.93, 172.42 and 83.51 is: 115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.93 : 172.42 = 83.51 : x
  2. Step 2: Convert to fraction form
    124.93/172.42 = 83.51/x
  3. Step 3: Cross multiply
    124.93x = 172.42 × 83.51
  4. Step 4: Simplify right side
    124.93x = 14,398.12
  5. Step 5: Solve for x
    x = 14,398.12/124.93
  6. Step 6: Final answer
    x = 115.25

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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.