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Finding the Fourth Proportional to 123.14, 183.70 and 114.50

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Solution

The fourth proportional to 123.14, 183.70 and 114.50 is: 170.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.14 : 183.70 = 114.50 : x
  2. Step 2: Convert to fraction form
    123.14/183.70 = 114.50/x
  3. Step 3: Cross multiply
    123.14x = 183.70 × 114.50
  4. Step 4: Simplify right side
    123.14x = 21,033.65
  5. Step 5: Solve for x
    x = 21,033.65/123.14
  6. Step 6: Final answer
    x = 170.81

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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.