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Finding the Fourth Proportional to 64.09, 96.12 and 21.34

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Solution

The fourth proportional to 64.09, 96.12 and 21.34 is: 32.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.09 : 96.12 = 21.34 : x
  2. Step 2: Convert to fraction form
    64.09/96.12 = 21.34/x
  3. Step 3: Cross multiply
    64.09x = 96.12 × 21.34
  4. Step 4: Simplify right side
    64.09x = 2,050.72
  5. Step 5: Solve for x
    x = 2,050.72/64.09
  6. Step 6: Final answer
    x = 32.00

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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.