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Finding the Fourth Proportional to 122.07, 182.93 and 53.57

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Solution

The fourth proportional to 122.07, 182.93 and 53.57 is: 80.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.07 : 182.93 = 53.57 : x
  2. Step 2: Convert to fraction form
    122.07/182.93 = 53.57/x
  3. Step 3: Cross multiply
    122.07x = 182.93 × 53.57
  4. Step 4: Simplify right side
    122.07x = 9,800.46
  5. Step 5: Solve for x
    x = 9,800.46/122.07
  6. Step 6: Final answer
    x = 80.29

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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.