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Finding the Fourth Proportional to 68.02, 93.96 and 65.90

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Solution

The fourth proportional to 68.02, 93.96 and 65.90 is: 91.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.02 : 93.96 = 65.90 : x
  2. Step 2: Convert to fraction form
    68.02/93.96 = 65.90/x
  3. Step 3: Cross multiply
    68.02x = 93.96 × 65.90
  4. Step 4: Simplify right side
    68.02x = 6,191.96
  5. Step 5: Solve for x
    x = 6,191.96/68.02
  6. Step 6: Final answer
    x = 91.03

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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.