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Finding the Fourth Proportional to 64.27, 89.06 and 63.05

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Solution

The fourth proportional to 64.27, 89.06 and 63.05 is: 87.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.27 : 89.06 = 63.05 : x
  2. Step 2: Convert to fraction form
    64.27/89.06 = 63.05/x
  3. Step 3: Cross multiply
    64.27x = 89.06 × 63.05
  4. Step 4: Simplify right side
    64.27x = 5,615.46
  5. Step 5: Solve for x
    x = 5,615.46/64.27
  6. Step 6: Final answer
    x = 87.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.