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Finding the Fourth Proportional to 122.42, 183.77 and 96.76

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Solution

The fourth proportional to 122.42, 183.77 and 96.76 is: 145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.42 : 183.77 = 96.76 : x
  2. Step 2: Convert to fraction form
    122.42/183.77 = 96.76/x
  3. Step 3: Cross multiply
    122.42x = 183.77 × 96.76
  4. Step 4: Simplify right side
    122.42x = 17,780.18
  5. Step 5: Solve for x
    x = 17,780.18/122.42
  6. Step 6: Final answer
    x = 145.25

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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.