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Finding the Fourth Proportional to 122.51, 168.98 and 83.63

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Solution

The fourth proportional to 122.51, 168.98 and 83.63 is: 115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.51 : 168.98 = 83.63 : x
  2. Step 2: Convert to fraction form
    122.51/168.98 = 83.63/x
  3. Step 3: Cross multiply
    122.51x = 168.98 × 83.63
  4. Step 4: Simplify right side
    122.51x = 14,130.53
  5. Step 5: Solve for x
    x = 14,130.53/122.51
  6. Step 6: Final answer
    x = 115.35

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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.