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Finding the Fourth Proportional to 123.85, 184.63 and 110.08

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Solution

The fourth proportional to 123.85, 184.63 and 110.08 is: 164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.85 : 184.63 = 110.08 : x
  2. Step 2: Convert to fraction form
    123.85/184.63 = 110.08/x
  3. Step 3: Cross multiply
    123.85x = 184.63 × 110.08
  4. Step 4: Simplify right side
    123.85x = 20,324.07
  5. Step 5: Solve for x
    x = 20,324.07/123.85
  6. Step 6: Final answer
    x = 164.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.