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Finding the Fourth Proportional to 68.35, 94.29 and 42.11

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Solution

The fourth proportional to 68.35, 94.29 and 42.11 is: 58.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.35 : 94.29 = 42.11 : x
  2. Step 2: Convert to fraction form
    68.35/94.29 = 42.11/x
  3. Step 3: Cross multiply
    68.35x = 94.29 × 42.11
  4. Step 4: Simplify right side
    68.35x = 3,970.79
  5. Step 5: Solve for x
    x = 3,970.79/68.35
  6. Step 6: Final answer
    x = 58.10

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