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Finding the Fourth Proportional to 142.15, 213.08 and 65.14

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Solution

The fourth proportional to 142.15, 213.08 and 65.14 is: 97.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.15 : 213.08 = 65.14 : x
  2. Step 2: Convert to fraction form
    142.15/213.08 = 65.14/x
  3. Step 3: Cross multiply
    142.15x = 213.08 × 65.14
  4. Step 4: Simplify right side
    142.15x = 13,880.03
  5. Step 5: Solve for x
    x = 13,880.03/142.15
  6. Step 6: Final answer
    x = 97.64

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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.