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Finding the Fourth Proportional to 122.61, 183.08 and 105.46

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Solution

The fourth proportional to 122.61, 183.08 and 105.46 is: 157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.61 : 183.08 = 105.46 : x
  2. Step 2: Convert to fraction form
    122.61/183.08 = 105.46/x
  3. Step 3: Cross multiply
    122.61x = 183.08 × 105.46
  4. Step 4: Simplify right side
    122.61x = 19,307.62
  5. Step 5: Solve for x
    x = 19,307.62/122.61
  6. Step 6: Final answer
    x = 157.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.