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Finding the Fourth Proportional to 68.55, 102.65 and 57.19

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Solution

The fourth proportional to 68.55, 102.65 and 57.19 is: 85.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.55 : 102.65 = 57.19 : x
  2. Step 2: Convert to fraction form
    68.55/102.65 = 57.19/x
  3. Step 3: Cross multiply
    68.55x = 102.65 × 57.19
  4. Step 4: Simplify right side
    68.55x = 5,870.55
  5. Step 5: Solve for x
    x = 5,870.55/68.55
  6. Step 6: Final answer
    x = 85.64

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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.