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Finding the Fourth Proportional to 68.58, 94.50 and 58.16

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Solution

The fourth proportional to 68.58, 94.50 and 58.16 is: 80.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.58 : 94.50 = 58.16 : x
  2. Step 2: Convert to fraction form
    68.58/94.50 = 58.16/x
  3. Step 3: Cross multiply
    68.58x = 94.50 × 58.16
  4. Step 4: Simplify right side
    68.58x = 5,496.12
  5. Step 5: Solve for x
    x = 5,496.12/68.58
  6. Step 6: Final answer
    x = 80.14

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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.