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Finding the Fourth Proportional to 64.97, 89.11 and 62.05

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Solution

The fourth proportional to 64.97, 89.11 and 62.05 is: 85.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.97 : 89.11 = 62.05 : x
  2. Step 2: Convert to fraction form
    64.97/89.11 = 62.05/x
  3. Step 3: Cross multiply
    64.97x = 89.11 × 62.05
  4. Step 4: Simplify right side
    64.97x = 5,529.30
  5. Step 5: Solve for x
    x = 5,529.30/64.97
  6. Step 6: Final answer
    x = 85.11

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Why These Related Problems?

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