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Finding the Fourth Proportional to 231.32, 347.03 and 68.99

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Solution

The fourth proportional to 231.32, 347.03 and 68.99 is: 103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.32 : 347.03 = 68.99 : x
  2. Step 2: Convert to fraction form
    231.32/347.03 = 68.99/x
  3. Step 3: Cross multiply
    231.32x = 347.03 × 68.99
  4. Step 4: Simplify right side
    231.32x = 23,941.60
  5. Step 5: Solve for x
    x = 23,941.60/231.32
  6. Step 6: Final answer
    x = 103.50

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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.