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Finding the Fourth Proportional to 68.50, 102.09 and 65.07

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Solution

The fourth proportional to 68.50, 102.09 and 65.07 is: 96.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.50 : 102.09 = 65.07 : x
  2. Step 2: Convert to fraction form
    68.50/102.09 = 65.07/x
  3. Step 3: Cross multiply
    68.50x = 102.09 × 65.07
  4. Step 4: Simplify right side
    68.50x = 6,643.24
  5. Step 5: Solve for x
    x = 6,643.24/68.50
  6. Step 6: Final answer
    x = 96.99

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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.