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Finding the Fourth Proportional to 68.65, 102.97 and 23.00

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Solution

The fourth proportional to 68.65, 102.97 and 23.00 is: 34.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.65 : 102.97 = 23.00 : x
  2. Step 2: Convert to fraction form
    68.65/102.97 = 23.00/x
  3. Step 3: Cross multiply
    68.65x = 102.97 × 23.00
  4. Step 4: Simplify right side
    68.65x = 2,367.89
  5. Step 5: Solve for x
    x = 2,367.89/68.65
  6. Step 6: Final answer
    x = 34.49

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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.