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Finding the Fourth Proportional to 143.56, 214.89 and 100.10

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Solution

The fourth proportional to 143.56, 214.89 and 100.10 is: 149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.56 : 214.89 = 100.10 : x
  2. Step 2: Convert to fraction form
    143.56/214.89 = 100.10/x
  3. Step 3: Cross multiply
    143.56x = 214.89 × 100.10
  4. Step 4: Simplify right side
    143.56x = 21,510.49
  5. Step 5: Solve for x
    x = 21,510.49/143.56
  6. Step 6: Final answer
    x = 149.84

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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.