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Finding the Fourth Proportional to 142.72, 213.99 and 65.68

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Solution

The fourth proportional to 142.72, 213.99 and 65.68 is: 98.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.72 : 213.99 = 65.68 : x
  2. Step 2: Convert to fraction form
    142.72/213.99 = 65.68/x
  3. Step 3: Cross multiply
    142.72x = 213.99 × 65.68
  4. Step 4: Simplify right side
    142.72x = 14,054.86
  5. Step 5: Solve for x
    x = 14,054.86/142.72
  6. Step 6: Final answer
    x = 98.48

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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.