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Finding the Fourth Proportional to 71.96, 99.72 and 71.09

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Solution

The fourth proportional to 71.96, 99.72 and 71.09 is: 98.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.96 : 99.72 = 71.09 : x
  2. Step 2: Convert to fraction form
    71.96/99.72 = 71.09/x
  3. Step 3: Cross multiply
    71.96x = 99.72 × 71.09
  4. Step 4: Simplify right side
    71.96x = 7,088.60
  5. Step 5: Solve for x
    x = 7,088.60/71.96
  6. Step 6: Final answer
    x = 98.51

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.