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Finding the Fourth Proportional to 123.63, 184.38 and 116.64

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Solution

The fourth proportional to 123.63, 184.38 and 116.64 is: 173.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.63 : 184.38 = 116.64 : x
  2. Step 2: Convert to fraction form
    123.63/184.38 = 116.64/x
  3. Step 3: Cross multiply
    123.63x = 184.38 × 116.64
  4. Step 4: Simplify right side
    123.63x = 21,505.65
  5. Step 5: Solve for x
    x = 21,505.65/123.63
  6. Step 6: Final answer
    x = 173.96

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