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Finding the Fourth Proportional to 65.05, 97.57 and 30.82

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Solution

The fourth proportional to 65.05, 97.57 and 30.82 is: 46.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.05 : 97.57 = 30.82 : x
  2. Step 2: Convert to fraction form
    65.05/97.57 = 30.82/x
  3. Step 3: Cross multiply
    65.05x = 97.57 × 30.82
  4. Step 4: Simplify right side
    65.05x = 3,007.11
  5. Step 5: Solve for x
    x = 3,007.11/65.05
  6. Step 6: Final answer
    x = 46.23

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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.