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Finding the Fourth Proportional to 183.56, 275.33 and 96.77

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Solution

The fourth proportional to 183.56, 275.33 and 96.77 is: 145.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.56 : 275.33 = 96.77 : x
  2. Step 2: Convert to fraction form
    183.56/275.33 = 96.77/x
  3. Step 3: Cross multiply
    183.56x = 275.33 × 96.77
  4. Step 4: Simplify right side
    183.56x = 26,644.61
  5. Step 5: Solve for x
    x = 26,644.61/183.56
  6. Step 6: Final answer
    x = 145.16

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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.