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Finding the Fourth Proportional to 69.31, 104.49 and 61.80

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Solution

The fourth proportional to 69.31, 104.49 and 61.80 is: 93.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.31 : 104.49 = 61.80 : x
  2. Step 2: Convert to fraction form
    69.31/104.49 = 61.80/x
  3. Step 3: Cross multiply
    69.31x = 104.49 × 61.80
  4. Step 4: Simplify right side
    69.31x = 6,457.48
  5. Step 5: Solve for x
    x = 6,457.48/69.31
  6. Step 6: Final answer
    x = 93.17

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Why These Related Problems?

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