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Finding the Fourth Proportional to 123.01, 184.33 and 96.01

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Solution

The fourth proportional to 123.01, 184.33 and 96.01 is: 143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.01 : 184.33 = 96.01 : x
  2. Step 2: Convert to fraction form
    123.01/184.33 = 96.01/x
  3. Step 3: Cross multiply
    123.01x = 184.33 × 96.01
  4. Step 4: Simplify right side
    123.01x = 17,697.52
  5. Step 5: Solve for x
    x = 17,697.52/123.01
  6. Step 6: Final answer
    x = 143.87

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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.