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Finding the Fourth Proportional to 143.06, 214.16 and 125.06

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Solution

The fourth proportional to 143.06, 214.16 and 125.06 is: 187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.06 : 214.16 = 125.06 : x
  2. Step 2: Convert to fraction form
    143.06/214.16 = 125.06/x
  3. Step 3: Cross multiply
    143.06x = 214.16 × 125.06
  4. Step 4: Simplify right side
    143.06x = 26,781.15
  5. Step 5: Solve for x
    x = 26,781.15/143.06
  6. Step 6: Final answer
    x = 187.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.