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Finding the Fourth Proportional to 123.03, 184.14 and 101.43

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Solution

The fourth proportional to 123.03, 184.14 and 101.43 is: 151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.03 : 184.14 = 101.43 : x
  2. Step 2: Convert to fraction form
    123.03/184.14 = 101.43/x
  3. Step 3: Cross multiply
    123.03x = 184.14 × 101.43
  4. Step 4: Simplify right side
    123.03x = 18,677.32
  5. Step 5: Solve for x
    x = 18,677.32/123.03
  6. Step 6: Final answer
    x = 151.81

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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.