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Finding the Fourth Proportional to 183.15, 274.82 and 106.02

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Solution

The fourth proportional to 183.15, 274.82 and 106.02 is: 159.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.15 : 274.82 = 106.02 : x
  2. Step 2: Convert to fraction form
    183.15/274.82 = 106.02/x
  3. Step 3: Cross multiply
    183.15x = 274.82 × 106.02
  4. Step 4: Simplify right side
    183.15x = 29,135.89
  5. Step 5: Solve for x
    x = 29,135.89/183.15
  6. Step 6: Final answer
    x = 159.08

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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.