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Finding the Fourth Proportional to 142.22, 213.32 and 65.18

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Solution

The fourth proportional to 142.22, 213.32 and 65.18 is: 97.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.22 : 213.32 = 65.18 : x
  2. Step 2: Convert to fraction form
    142.22/213.32 = 65.18/x
  3. Step 3: Cross multiply
    142.22x = 213.32 × 65.18
  4. Step 4: Simplify right side
    142.22x = 13,904.20
  5. Step 5: Solve for x
    x = 13,904.20/142.22
  6. Step 6: Final answer
    x = 97.77

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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.