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Finding the Fourth Proportional to 142.42, 213.52 and 65.34

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Solution

The fourth proportional to 142.42, 213.52 and 65.34 is: 97.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.42 : 213.52 = 65.34 : x
  2. Step 2: Convert to fraction form
    142.42/213.52 = 65.34/x
  3. Step 3: Cross multiply
    142.42x = 213.52 × 65.34
  4. Step 4: Simplify right side
    142.42x = 13,951.40
  5. Step 5: Solve for x
    x = 13,951.40/142.42
  6. Step 6: Final answer
    x = 97.96

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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.