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Finding the Fourth Proportional to 71.22, 107.43 and 65.43

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Solution

The fourth proportional to 71.22, 107.43 and 65.43 is: 98.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.22 : 107.43 = 65.43 : x
  2. Step 2: Convert to fraction form
    71.22/107.43 = 65.43/x
  3. Step 3: Cross multiply
    71.22x = 107.43 × 65.43
  4. Step 4: Simplify right side
    71.22x = 7,029.14
  5. Step 5: Solve for x
    x = 7,029.14/71.22
  6. Step 6: Final answer
    x = 98.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.