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Finding the Fourth Proportional to 68.25, 93.96 and 65.00

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Solution

The fourth proportional to 68.25, 93.96 and 65.00 is: 89.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.25 : 93.96 = 65.00 : x
  2. Step 2: Convert to fraction form
    68.25/93.96 = 65.00/x
  3. Step 3: Cross multiply
    68.25x = 93.96 × 65.00
  4. Step 4: Simplify right side
    68.25x = 6,106.93
  5. Step 5: Solve for x
    x = 6,106.93/68.25
  6. Step 6: Final answer
    x = 89.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.