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Finding the Fourth Proportional to 104.34, 143.96 and 64.94

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Solution

The fourth proportional to 104.34, 143.96 and 64.94 is: 89.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.34 : 143.96 = 64.94 : x
  2. Step 2: Convert to fraction form
    104.34/143.96 = 64.94/x
  3. Step 3: Cross multiply
    104.34x = 143.96 × 64.94
  4. Step 4: Simplify right side
    104.34x = 9,348.08
  5. Step 5: Solve for x
    x = 9,348.08/104.34
  6. Step 6: Final answer
    x = 89.59

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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.