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Finding the Fourth Proportional to 122.72, 183.01 and 114.51

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Solution

The fourth proportional to 122.72, 183.01 and 114.51 is: 170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.72 : 183.01 = 114.51 : x
  2. Step 2: Convert to fraction form
    122.72/183.01 = 114.51/x
  3. Step 3: Cross multiply
    122.72x = 183.01 × 114.51
  4. Step 4: Simplify right side
    122.72x = 20,956.19
  5. Step 5: Solve for x
    x = 20,956.19/122.72
  6. Step 6: Final answer
    x = 170.77

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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.