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Finding the Fourth Proportional to 103.61, 142.94 and 64.82

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Solution

The fourth proportional to 103.61, 142.94 and 64.82 is: 89.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.61 : 142.94 = 64.82 : x
  2. Step 2: Convert to fraction form
    103.61/142.94 = 64.82/x
  3. Step 3: Cross multiply
    103.61x = 142.94 × 64.82
  4. Step 4: Simplify right side
    103.61x = 9,265.37
  5. Step 5: Solve for x
    x = 9,265.37/103.61
  6. Step 6: Final answer
    x = 89.43

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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.