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Finding the Fourth Proportional to 68.16, 102.35 and 66.95

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Solution

The fourth proportional to 68.16, 102.35 and 66.95 is: 100.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.16 : 102.35 = 66.95 : x
  2. Step 2: Convert to fraction form
    68.16/102.35 = 66.95/x
  3. Step 3: Cross multiply
    68.16x = 102.35 × 66.95
  4. Step 4: Simplify right side
    68.16x = 6,852.33
  5. Step 5: Solve for x
    x = 6,852.33/68.16
  6. Step 6: Final answer
    x = 100.53

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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.