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Finding the Fourth Proportional to 64.85, 96.89 and 49.32

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Solution

The fourth proportional to 64.85, 96.89 and 49.32 is: 73.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.85 : 96.89 = 49.32 : x
  2. Step 2: Convert to fraction form
    64.85/96.89 = 49.32/x
  3. Step 3: Cross multiply
    64.85x = 96.89 × 49.32
  4. Step 4: Simplify right side
    64.85x = 4,778.37
  5. Step 5: Solve for x
    x = 4,778.37/64.85
  6. Step 6: Final answer
    x = 73.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.