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Finding the Fourth Proportional to 64.50, 96.74 and 18.83

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Solution

The fourth proportional to 64.50, 96.74 and 18.83 is: 28.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.50 : 96.74 = 18.83 : x
  2. Step 2: Convert to fraction form
    64.50/96.74 = 18.83/x
  3. Step 3: Cross multiply
    64.50x = 96.74 × 18.83
  4. Step 4: Simplify right side
    64.50x = 1,821.76
  5. Step 5: Solve for x
    x = 1,821.76/64.50
  6. Step 6: Final answer
    x = 28.24

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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.