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Finding the Fourth Proportional to 123.74, 185.33 and 102.03

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Solution

The fourth proportional to 123.74, 185.33 and 102.03 is: 152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.74 : 185.33 = 102.03 : x
  2. Step 2: Convert to fraction form
    123.74/185.33 = 102.03/x
  3. Step 3: Cross multiply
    123.74x = 185.33 × 102.03
  4. Step 4: Simplify right side
    123.74x = 18,908.78
  5. Step 5: Solve for x
    x = 18,908.78/123.74
  6. Step 6: Final answer
    x = 152.81

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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.