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Finding the Fourth Proportional to 183.75, 275.76 and 87.57

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Solution

The fourth proportional to 183.75, 275.76 and 87.57 is: 131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.75 : 275.76 = 87.57 : x
  2. Step 2: Convert to fraction form
    183.75/275.76 = 87.57/x
  3. Step 3: Cross multiply
    183.75x = 275.76 × 87.57
  4. Step 4: Simplify right side
    183.75x = 24,148.30
  5. Step 5: Solve for x
    x = 24,148.30/183.75
  6. Step 6: Final answer
    x = 131.42

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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.