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Finding the Fourth Proportional to 69.80, 104.59 and 65.00

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Solution

The fourth proportional to 69.80, 104.59 and 65.00 is: 97.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.80 : 104.59 = 65.00 : x
  2. Step 2: Convert to fraction form
    69.80/104.59 = 65.00/x
  3. Step 3: Cross multiply
    69.80x = 104.59 × 65.00
  4. Step 4: Simplify right side
    69.80x = 6,798.69
  5. Step 5: Solve for x
    x = 6,798.69/69.80
  6. Step 6: Final answer
    x = 97.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.