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Finding the Fourth Proportional to 71.29, 98.58 and 68.06

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Solution

The fourth proportional to 71.29, 98.58 and 68.06 is: 94.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.29 : 98.58 = 68.06 : x
  2. Step 2: Convert to fraction form
    71.29/98.58 = 68.06/x
  3. Step 3: Cross multiply
    71.29x = 98.58 × 68.06
  4. Step 4: Simplify right side
    71.29x = 6,709.01
  5. Step 5: Solve for x
    x = 6,709.01/71.29
  6. Step 6: Final answer
    x = 94.12

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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.