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Finding the Fourth Proportional to 69.58, 104.80 and 64.57

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Solution

The fourth proportional to 69.58, 104.80 and 64.57 is: 97.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.58 : 104.80 = 64.57 : x
  2. Step 2: Convert to fraction form
    69.58/104.80 = 64.57/x
  3. Step 3: Cross multiply
    69.58x = 104.80 × 64.57
  4. Step 4: Simplify right side
    69.58x = 6,766.94
  5. Step 5: Solve for x
    x = 6,766.94/69.58
  6. Step 6: Final answer
    x = 97.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.