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Finding the Fourth Proportional to 122.16, 168.54 and 75.51

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Solution

The fourth proportional to 122.16, 168.54 and 75.51 is: 104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.16 : 168.54 = 75.51 : x
  2. Step 2: Convert to fraction form
    122.16/168.54 = 75.51/x
  3. Step 3: Cross multiply
    122.16x = 168.54 × 75.51
  4. Step 4: Simplify right side
    122.16x = 12,726.46
  5. Step 5: Solve for x
    x = 12,726.46/122.16
  6. Step 6: Final answer
    x = 104.18

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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.