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Finding the Fourth Proportional to 64.14, 96.21 and 16.05

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Solution

The fourth proportional to 64.14, 96.21 and 16.05 is: 24.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.14 : 96.21 = 16.05 : x
  2. Step 2: Convert to fraction form
    64.14/96.21 = 16.05/x
  3. Step 3: Cross multiply
    64.14x = 96.21 × 16.05
  4. Step 4: Simplify right side
    64.14x = 1,543.97
  5. Step 5: Solve for x
    x = 1,543.97/64.14
  6. Step 6: Final answer
    x = 24.07

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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.