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Finding the Fourth Proportional to 103.82, 143.24 and 65.00

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Solution

The fourth proportional to 103.82, 143.24 and 65.00 is: 89.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.82 : 143.24 = 65.00 : x
  2. Step 2: Convert to fraction form
    103.82/143.24 = 65.00/x
  3. Step 3: Cross multiply
    103.82x = 143.24 × 65.00
  4. Step 4: Simplify right side
    103.82x = 9,310.63
  5. Step 5: Solve for x
    x = 9,310.63/103.82
  6. Step 6: Final answer
    x = 89.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.