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Finding the Fourth Proportional to 183.76, 275.49 and 75.64

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Solution

The fourth proportional to 183.76, 275.49 and 75.64 is: 113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.76 : 275.49 = 75.64 : x
  2. Step 2: Convert to fraction form
    183.76/275.49 = 75.64/x
  3. Step 3: Cross multiply
    183.76x = 275.49 × 75.64
  4. Step 4: Simplify right side
    183.76x = 20,838.06
  5. Step 5: Solve for x
    x = 20,838.06/183.76
  6. Step 6: Final answer
    x = 113.40

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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.