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Finding the Fourth Proportional to 123.17, 184.83 and 50.03

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Solution

The fourth proportional to 123.17, 184.83 and 50.03 is: 75.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.17 : 184.83 = 50.03 : x
  2. Step 2: Convert to fraction form
    123.17/184.83 = 50.03/x
  3. Step 3: Cross multiply
    123.17x = 184.83 × 50.03
  4. Step 4: Simplify right side
    123.17x = 9,247.51
  5. Step 5: Solve for x
    x = 9,247.51/123.17
  6. Step 6: Final answer
    x = 75.08

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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.