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Finding the Fourth Proportional to 97.81, 134.87 and 70.27

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Solution

The fourth proportional to 97.81, 134.87 and 70.27 is: 96.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.81 : 134.87 = 70.27 : x
  2. Step 2: Convert to fraction form
    97.81/134.87 = 70.27/x
  3. Step 3: Cross multiply
    97.81x = 134.87 × 70.27
  4. Step 4: Simplify right side
    97.81x = 9,476.63
  5. Step 5: Solve for x
    x = 9,476.63/97.81
  6. Step 6: Final answer
    x = 96.89

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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.