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Finding the Fourth Proportional to 65.06, 97.52 and 28.97

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Solution

The fourth proportional to 65.06, 97.52 and 28.97 is: 43.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.06 : 97.52 = 28.97 : x
  2. Step 2: Convert to fraction form
    65.06/97.52 = 28.97/x
  3. Step 3: Cross multiply
    65.06x = 97.52 × 28.97
  4. Step 4: Simplify right side
    65.06x = 2,825.15
  5. Step 5: Solve for x
    x = 2,825.15/65.06
  6. Step 6: Final answer
    x = 43.43

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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.