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Finding the Fourth Proportional to 64.08, 95.76 and 54.54

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Solution

The fourth proportional to 64.08, 95.76 and 54.54 is: 81.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.08 : 95.76 = 54.54 : x
  2. Step 2: Convert to fraction form
    64.08/95.76 = 54.54/x
  3. Step 3: Cross multiply
    64.08x = 95.76 × 54.54
  4. Step 4: Simplify right side
    64.08x = 5,222.75
  5. Step 5: Solve for x
    x = 5,222.75/64.08
  6. Step 6: Final answer
    x = 81.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.