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Finding the Fourth Proportional to 68.50, 94.14 and 65.08

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Solution

The fourth proportional to 68.50, 94.14 and 65.08 is: 89.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.50 : 94.14 = 65.08 : x
  2. Step 2: Convert to fraction form
    68.50/94.14 = 65.08/x
  3. Step 3: Cross multiply
    68.50x = 94.14 × 65.08
  4. Step 4: Simplify right side
    68.50x = 6,126.30
  5. Step 5: Solve for x
    x = 6,126.30/68.50
  6. Step 6: Final answer
    x = 89.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.