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Finding the Fourth Proportional to 183.53, 275.13 and 96.81

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Solution

The fourth proportional to 183.53, 275.13 and 96.81 is: 145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.53 : 275.13 = 96.81 : x
  2. Step 2: Convert to fraction form
    183.53/275.13 = 96.81/x
  3. Step 3: Cross multiply
    183.53x = 275.13 × 96.81
  4. Step 4: Simplify right side
    183.53x = 26,635.58
  5. Step 5: Solve for x
    x = 26,635.58/183.53
  6. Step 6: Final answer
    x = 145.13

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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.