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Finding the Fourth Proportional to 122.16, 182.88 and 73.92

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Solution

The fourth proportional to 122.16, 182.88 and 73.92 is: 110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.16 : 182.88 = 73.92 : x
  2. Step 2: Convert to fraction form
    122.16/182.88 = 73.92/x
  3. Step 3: Cross multiply
    122.16x = 182.88 × 73.92
  4. Step 4: Simplify right side
    122.16x = 13,518.49
  5. Step 5: Solve for x
    x = 13,518.49/122.16
  6. Step 6: Final answer
    x = 110.66

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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.