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Finding the Fourth Proportional to 122.56, 184.58 and 103.42

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Solution

The fourth proportional to 122.56, 184.58 and 103.42 is: 155.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.56 : 184.58 = 103.42 : x
  2. Step 2: Convert to fraction form
    122.56/184.58 = 103.42/x
  3. Step 3: Cross multiply
    122.56x = 184.58 × 103.42
  4. Step 4: Simplify right side
    122.56x = 19,088.75
  5. Step 5: Solve for x
    x = 19,088.75/122.56
  6. Step 6: Final answer
    x = 155.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.