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Finding the Fourth Proportional to 64.32, 96.57 and 44.07

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Solution

The fourth proportional to 64.32, 96.57 and 44.07 is: 66.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.32 : 96.57 = 44.07 : x
  2. Step 2: Convert to fraction form
    64.32/96.57 = 44.07/x
  3. Step 3: Cross multiply
    64.32x = 96.57 × 44.07
  4. Step 4: Simplify right side
    64.32x = 4,255.84
  5. Step 5: Solve for x
    x = 4,255.84/64.32
  6. Step 6: Final answer
    x = 66.17

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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.