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Finding the Fourth Proportional to 68.69, 102.42 and 65.09

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Solution

The fourth proportional to 68.69, 102.42 and 65.09 is: 97.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.69 : 102.42 = 65.09 : x
  2. Step 2: Convert to fraction form
    68.69/102.42 = 65.09/x
  3. Step 3: Cross multiply
    68.69x = 102.42 × 65.09
  4. Step 4: Simplify right side
    68.69x = 6,666.01
  5. Step 5: Solve for x
    x = 6,666.01/68.69
  6. Step 6: Final answer
    x = 97.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.