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Finding the Fourth Proportional to 64.64, 96.88 and 40.56

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Solution

The fourth proportional to 64.64, 96.88 and 40.56 is: 60.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.64 : 96.88 = 40.56 : x
  2. Step 2: Convert to fraction form
    64.64/96.88 = 40.56/x
  3. Step 3: Cross multiply
    64.64x = 96.88 × 40.56
  4. Step 4: Simplify right side
    64.64x = 3,929.45
  5. Step 5: Solve for x
    x = 3,929.45/64.64
  6. Step 6: Final answer
    x = 60.79

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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.