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Finding the Fourth Proportional to 68.18, 102.30 and 65.38

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Solution

The fourth proportional to 68.18, 102.30 and 65.38 is: 98.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.18 : 102.30 = 65.38 : x
  2. Step 2: Convert to fraction form
    68.18/102.30 = 65.38/x
  3. Step 3: Cross multiply
    68.18x = 102.30 × 65.38
  4. Step 4: Simplify right side
    68.18x = 6,688.37
  5. Step 5: Solve for x
    x = 6,688.37/68.18
  6. Step 6: Final answer
    x = 98.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.