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Finding the Fourth Proportional to 123.49, 185.07 and 54.93

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Solution

The fourth proportional to 123.49, 185.07 and 54.93 is: 82.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.49 : 185.07 = 54.93 : x
  2. Step 2: Convert to fraction form
    123.49/185.07 = 54.93/x
  3. Step 3: Cross multiply
    123.49x = 185.07 × 54.93
  4. Step 4: Simplify right side
    123.49x = 10,165.90
  5. Step 5: Solve for x
    x = 10,165.90/123.49
  6. Step 6: Final answer
    x = 82.32

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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.