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Finding the Fourth Proportional to 122.23, 183.57 and 117.33

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Solution

The fourth proportional to 122.23, 183.57 and 117.33 is: 176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.23 : 183.57 = 117.33 : x
  2. Step 2: Convert to fraction form
    122.23/183.57 = 117.33/x
  3. Step 3: Cross multiply
    122.23x = 183.57 × 117.33
  4. Step 4: Simplify right side
    122.23x = 21,538.17
  5. Step 5: Solve for x
    x = 21,538.17/122.23
  6. Step 6: Final answer
    x = 176.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.