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Finding the Fourth Proportional to 143.24, 214.64 and 102.56

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Solution

The fourth proportional to 143.24, 214.64 and 102.56 is: 153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.24 : 214.64 = 102.56 : x
  2. Step 2: Convert to fraction form
    143.24/214.64 = 102.56/x
  3. Step 3: Cross multiply
    143.24x = 214.64 × 102.56
  4. Step 4: Simplify right side
    143.24x = 22,013.48
  5. Step 5: Solve for x
    x = 22,013.48/143.24
  6. Step 6: Final answer
    x = 153.68

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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.