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Finding the Fourth Proportional to 64.14, 96.08 and 54.06

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Solution

The fourth proportional to 64.14, 96.08 and 54.06 is: 80.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.14 : 96.08 = 54.06 : x
  2. Step 2: Convert to fraction form
    64.14/96.08 = 54.06/x
  3. Step 3: Cross multiply
    64.14x = 96.08 × 54.06
  4. Step 4: Simplify right side
    64.14x = 5,194.08
  5. Step 5: Solve for x
    x = 5,194.08/64.14
  6. Step 6: Final answer
    x = 80.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.