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Finding the Fourth Proportional to 122.16, 183.24 and 116.76

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Solution

The fourth proportional to 122.16, 183.24 and 116.76 is: 175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.16 : 183.24 = 116.76 : x
  2. Step 2: Convert to fraction form
    122.16/183.24 = 116.76/x
  3. Step 3: Cross multiply
    122.16x = 183.24 × 116.76
  4. Step 4: Simplify right side
    122.16x = 21,395.10
  5. Step 5: Solve for x
    x = 21,395.10/122.16
  6. Step 6: Final answer
    x = 175.14

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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.