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Finding the Fourth Proportional to 64.55, 96.75 and 23.96

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Solution

The fourth proportional to 64.55, 96.75 and 23.96 is: 35.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.55 : 96.75 = 23.96 : x
  2. Step 2: Convert to fraction form
    64.55/96.75 = 23.96/x
  3. Step 3: Cross multiply
    64.55x = 96.75 × 23.96
  4. Step 4: Simplify right side
    64.55x = 2,317.65
  5. Step 5: Solve for x
    x = 2,317.65/64.55
  6. Step 6: Final answer
    x = 35.91

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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.