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Finding the Fourth Proportional to 123.68, 184.74 and 116.08

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Solution

The fourth proportional to 123.68, 184.74 and 116.08 is: 173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.68 : 184.74 = 116.08 : x
  2. Step 2: Convert to fraction form
    123.68/184.74 = 116.08/x
  3. Step 3: Cross multiply
    123.68x = 184.74 × 116.08
  4. Step 4: Simplify right side
    123.68x = 21,444.62
  5. Step 5: Solve for x
    x = 21,444.62/123.68
  6. Step 6: Final answer
    x = 173.39

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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.