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Finding the Fourth Proportional to 71.06, 97.43 and 69.03

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Solution

The fourth proportional to 71.06, 97.43 and 69.03 is: 94.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.06 : 97.43 = 69.03 : x
  2. Step 2: Convert to fraction form
    71.06/97.43 = 69.03/x
  3. Step 3: Cross multiply
    71.06x = 97.43 × 69.03
  4. Step 4: Simplify right side
    71.06x = 6,725.25
  5. Step 5: Solve for x
    x = 6,725.25/71.06
  6. Step 6: Final answer
    x = 94.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.