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Finding the Fourth Proportional to 71.15, 97.34 and 70.74

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Solution

The fourth proportional to 71.15, 97.34 and 70.74 is: 96.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.15 : 97.34 = 70.74 : x
  2. Step 2: Convert to fraction form
    71.15/97.34 = 70.74/x
  3. Step 3: Cross multiply
    71.15x = 97.34 × 70.74
  4. Step 4: Simplify right side
    71.15x = 6,885.48
  5. Step 5: Solve for x
    x = 6,885.48/71.15
  6. Step 6: Final answer
    x = 96.78

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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.