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Finding the Fourth Proportional to 69.04, 95.78 and 65.70

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Solution

The fourth proportional to 69.04, 95.78 and 65.70 is: 91.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.04 : 95.78 = 65.70 : x
  2. Step 2: Convert to fraction form
    69.04/95.78 = 65.70/x
  3. Step 3: Cross multiply
    69.04x = 95.78 × 65.70
  4. Step 4: Simplify right side
    69.04x = 6,292.91
  5. Step 5: Solve for x
    x = 6,292.91/69.04
  6. Step 6: Final answer
    x = 91.15

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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.