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Finding the Fourth Proportional to 122.92, 182.93 and 118.92

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Solution

The fourth proportional to 122.92, 182.93 and 118.92 is: 176.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.92 : 182.93 = 118.92 : x
  2. Step 2: Convert to fraction form
    122.92/182.93 = 118.92/x
  3. Step 3: Cross multiply
    122.92x = 182.93 × 118.92
  4. Step 4: Simplify right side
    122.92x = 21,754.04
  5. Step 5: Solve for x
    x = 21,754.04/122.92
  6. Step 6: Final answer
    x = 176.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.