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Finding the Fourth Proportional to 142.41, 213.48 and 65.42

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Solution

The fourth proportional to 142.41, 213.48 and 65.42 is: 98.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.41 : 213.48 = 65.42 : x
  2. Step 2: Convert to fraction form
    142.41/213.48 = 65.42/x
  3. Step 3: Cross multiply
    142.41x = 213.48 × 65.42
  4. Step 4: Simplify right side
    142.41x = 13,964.79
  5. Step 5: Solve for x
    x = 13,964.79/142.41
  6. Step 6: Final answer
    x = 98.06

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Why These Related Problems?

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