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Finding the Fourth Proportional to 68.84, 102.94 and 61.64

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Solution

The fourth proportional to 68.84, 102.94 and 61.64 is: 92.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.84 : 102.94 = 61.64 : x
  2. Step 2: Convert to fraction form
    68.84/102.94 = 61.64/x
  3. Step 3: Cross multiply
    68.84x = 102.94 × 61.64
  4. Step 4: Simplify right side
    68.84x = 6,345.22
  5. Step 5: Solve for x
    x = 6,345.22/68.84
  6. Step 6: Final answer
    x = 92.17

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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.