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Finding the Fourth Proportional to 122.57, 183.73 and 45.48

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Solution

The fourth proportional to 122.57, 183.73 and 45.48 is: 68.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.57 : 183.73 = 45.48 : x
  2. Step 2: Convert to fraction form
    122.57/183.73 = 45.48/x
  3. Step 3: Cross multiply
    122.57x = 183.73 × 45.48
  4. Step 4: Simplify right side
    122.57x = 8,356.04
  5. Step 5: Solve for x
    x = 8,356.04/122.57
  6. Step 6: Final answer
    x = 68.17

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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.