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Finding the Fourth Proportional to 122.49, 168.99 and 117.16

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Solution

The fourth proportional to 122.49, 168.99 and 117.16 is: 161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.49 : 168.99 = 117.16 : x
  2. Step 2: Convert to fraction form
    122.49/168.99 = 117.16/x
  3. Step 3: Cross multiply
    122.49x = 168.99 × 117.16
  4. Step 4: Simplify right side
    122.49x = 19,798.87
  5. Step 5: Solve for x
    x = 19,798.87/122.49
  6. Step 6: Final answer
    x = 161.64

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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.