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Finding the Fourth Proportional to 64.54, 97.23 and 64.12

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Solution

The fourth proportional to 64.54, 97.23 and 64.12 is: 96.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.54 : 97.23 = 64.12 : x
  2. Step 2: Convert to fraction form
    64.54/97.23 = 64.12/x
  3. Step 3: Cross multiply
    64.54x = 97.23 × 64.12
  4. Step 4: Simplify right side
    64.54x = 6,234.39
  5. Step 5: Solve for x
    x = 6,234.39/64.54
  6. Step 6: Final answer
    x = 96.60

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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.