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Finding the Fourth Proportional to 122.59, 183.95 and 54.11

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Solution

The fourth proportional to 122.59, 183.95 and 54.11 is: 81.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.59 : 183.95 = 54.11 : x
  2. Step 2: Convert to fraction form
    122.59/183.95 = 54.11/x
  3. Step 3: Cross multiply
    122.59x = 183.95 × 54.11
  4. Step 4: Simplify right side
    122.59x = 9,953.53
  5. Step 5: Solve for x
    x = 9,953.53/122.59
  6. Step 6: Final answer
    x = 81.19

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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.