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Finding the Fourth Proportional to 123.01, 184.19 and 98.52

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Solution

The fourth proportional to 123.01, 184.19 and 98.52 is: 147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.01 : 184.19 = 98.52 : x
  2. Step 2: Convert to fraction form
    123.01/184.19 = 98.52/x
  3. Step 3: Cross multiply
    123.01x = 184.19 × 98.52
  4. Step 4: Simplify right side
    123.01x = 18,145.22
  5. Step 5: Solve for x
    x = 18,145.22/123.01
  6. Step 6: Final answer
    x = 147.51

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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.