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Finding the Fourth Proportional to 65.12, 97.77 and 33.08

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Solution

The fourth proportional to 65.12, 97.77 and 33.08 is: 49.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.12 : 97.77 = 33.08 : x
  2. Step 2: Convert to fraction form
    65.12/97.77 = 33.08/x
  3. Step 3: Cross multiply
    65.12x = 97.77 × 33.08
  4. Step 4: Simplify right side
    65.12x = 3,234.23
  5. Step 5: Solve for x
    x = 3,234.23/65.12
  6. Step 6: Final answer
    x = 49.67

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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.