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Finding the Fourth Proportional to 70.81, 97.40 and 61.56

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Solution

The fourth proportional to 70.81, 97.40 and 61.56 is: 84.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.81 : 97.40 = 61.56 : x
  2. Step 2: Convert to fraction form
    70.81/97.40 = 61.56/x
  3. Step 3: Cross multiply
    70.81x = 97.40 × 61.56
  4. Step 4: Simplify right side
    70.81x = 5,996.10
  5. Step 5: Solve for x
    x = 5,996.10/70.81
  6. Step 6: Final answer
    x = 84.68

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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.