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Finding the Fourth Proportional to 64.46, 89.01 and 39.92

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Solution

The fourth proportional to 64.46, 89.01 and 39.92 is: 55.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.46 : 89.01 = 39.92 : x
  2. Step 2: Convert to fraction form
    64.46/89.01 = 39.92/x
  3. Step 3: Cross multiply
    64.46x = 89.01 × 39.92
  4. Step 4: Simplify right side
    64.46x = 3,552.83
  5. Step 5: Solve for x
    x = 3,552.83/64.46
  6. Step 6: Final answer
    x = 55.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.