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Finding the Fourth Proportional to 64.85, 89.12 and 63.02

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Solution

The fourth proportional to 64.85, 89.12 and 63.02 is: 86.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.85 : 89.12 = 63.02 : x
  2. Step 2: Convert to fraction form
    64.85/89.12 = 63.02/x
  3. Step 3: Cross multiply
    64.85x = 89.12 × 63.02
  4. Step 4: Simplify right side
    64.85x = 5,616.25
  5. Step 5: Solve for x
    x = 5,616.25/64.85
  6. Step 6: Final answer
    x = 86.61

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.