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Finding the Fourth Proportional to 64.34, 96.90 and 54.26

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Solution

The fourth proportional to 64.34, 96.90 and 54.26 is: 81.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.34 : 96.90 = 54.26 : x
  2. Step 2: Convert to fraction form
    64.34/96.90 = 54.26/x
  3. Step 3: Cross multiply
    64.34x = 96.90 × 54.26
  4. Step 4: Simplify right side
    64.34x = 5,257.79
  5. Step 5: Solve for x
    x = 5,257.79/64.34
  6. Step 6: Final answer
    x = 81.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.