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Finding the Fourth Proportional to 69.54, 96.00 and 64.94

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Solution

The fourth proportional to 69.54, 96.00 and 64.94 is: 89.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.54 : 96.00 = 64.94 : x
  2. Step 2: Convert to fraction form
    69.54/96.00 = 64.94/x
  3. Step 3: Cross multiply
    69.54x = 96.00 × 64.94
  4. Step 4: Simplify right side
    69.54x = 6,233.52
  5. Step 5: Solve for x
    x = 6,233.52/69.54
  6. Step 6: Final answer
    x = 89.64

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Why These Related Problems?

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