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Finding the Fourth Proportional to 69.30, 96.09 and 65.28

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Solution

The fourth proportional to 69.30, 96.09 and 65.28 is: 90.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.30 : 96.09 = 65.28 : x
  2. Step 2: Convert to fraction form
    69.30/96.09 = 65.28/x
  3. Step 3: Cross multiply
    69.30x = 96.09 × 65.28
  4. Step 4: Simplify right side
    69.30x = 6,272.76
  5. Step 5: Solve for x
    x = 6,272.76/69.30
  6. Step 6: Final answer
    x = 90.52

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.