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Finding the Fourth Proportional to 64.81, 96.41 and 64.16

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Solution

The fourth proportional to 64.81, 96.41 and 64.16 is: 95.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.81 : 96.41 = 64.16 : x
  2. Step 2: Convert to fraction form
    64.81/96.41 = 64.16/x
  3. Step 3: Cross multiply
    64.81x = 96.41 × 64.16
  4. Step 4: Simplify right side
    64.81x = 6,184.86
  5. Step 5: Solve for x
    x = 6,184.86/64.81
  6. Step 6: Final answer
    x = 95.44

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