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Finding the Fourth Proportional to 65.24, 97.74 and 30.96

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Solution

The fourth proportional to 65.24, 97.74 and 30.96 is: 46.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.24 : 97.74 = 30.96 : x
  2. Step 2: Convert to fraction form
    65.24/97.74 = 30.96/x
  3. Step 3: Cross multiply
    65.24x = 97.74 × 30.96
  4. Step 4: Simplify right side
    65.24x = 3,026.03
  5. Step 5: Solve for x
    x = 3,026.03/65.24
  6. Step 6: Final answer
    x = 46.38

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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.