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Finding the Fourth Proportional to 65.24, 89.96 and 49.67

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Solution

The fourth proportional to 65.24, 89.96 and 49.67 is: 68.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.24 : 89.96 = 49.67 : x
  2. Step 2: Convert to fraction form
    65.24/89.96 = 49.67/x
  3. Step 3: Cross multiply
    65.24x = 89.96 × 49.67
  4. Step 4: Simplify right side
    65.24x = 4,468.31
  5. Step 5: Solve for x
    x = 4,468.31/65.24
  6. Step 6: Final answer
    x = 68.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.