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Finding the Fourth Proportional to 65.67, 98.43 and 29.58

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Solution

The fourth proportional to 65.67, 98.43 and 29.58 is: 44.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.67 : 98.43 = 29.58 : x
  2. Step 2: Convert to fraction form
    65.67/98.43 = 29.58/x
  3. Step 3: Cross multiply
    65.67x = 98.43 × 29.58
  4. Step 4: Simplify right side
    65.67x = 2,911.56
  5. Step 5: Solve for x
    x = 2,911.56/65.67
  6. Step 6: Final answer
    x = 44.34

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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.