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Finding the Fourth Proportional to 122.42, 182.84 and 101.76

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Solution

The fourth proportional to 122.42, 182.84 and 101.76 is: 151.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.42 : 182.84 = 101.76 : x
  2. Step 2: Convert to fraction form
    122.42/182.84 = 101.76/x
  3. Step 3: Cross multiply
    122.42x = 182.84 × 101.76
  4. Step 4: Simplify right side
    122.42x = 18,605.80
  5. Step 5: Solve for x
    x = 18,605.80/122.42
  6. Step 6: Final answer
    x = 151.98

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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.