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Finding the Fourth Proportional to 183.69, 275.74 and 106.64

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Solution

The fourth proportional to 183.69, 275.74 and 106.64 is: 160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.69 : 275.74 = 106.64 : x
  2. Step 2: Convert to fraction form
    183.69/275.74 = 106.64/x
  3. Step 3: Cross multiply
    183.69x = 275.74 × 106.64
  4. Step 4: Simplify right side
    183.69x = 29,405.34
  5. Step 5: Solve for x
    x = 29,405.34/183.69
  6. Step 6: Final answer
    x = 160.08

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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.