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Finding the Fourth Proportional to 68.68, 102.96 and 23

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Solution

The fourth proportional to 68.68, 102.96 and 23 is: 34.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.68 : 102.96 = 23 : x
  2. Step 2: Convert to fraction form
    68.68/102.96 = 23/x
  3. Step 3: Cross multiply
    68.68x = 102.96 × 23
  4. Step 4: Simplify right side
    68.68x = 2,368.08
  5. Step 5: Solve for x
    x = 2,368.08/68.68
  6. Step 6: Final answer
    x = 34.48

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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.