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Finding the Fourth Proportional to 143.75, 214.58 and 123.09

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Solution

The fourth proportional to 143.75, 214.58 and 123.09 is: 183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.75 : 214.58 = 123.09 : x
  2. Step 2: Convert to fraction form
    143.75/214.58 = 123.09/x
  3. Step 3: Cross multiply
    143.75x = 214.58 × 123.09
  4. Step 4: Simplify right side
    143.75x = 26,412.65
  5. Step 5: Solve for x
    x = 26,412.65/143.75
  6. Step 6: Final answer
    x = 183.74

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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.