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Finding the Fourth Proportional to 96.68, 133.08 and 70.42

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Solution

The fourth proportional to 96.68, 133.08 and 70.42 is: 96.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.68 : 133.08 = 70.42 : x
  2. Step 2: Convert to fraction form
    96.68/133.08 = 70.42/x
  3. Step 3: Cross multiply
    96.68x = 133.08 × 70.42
  4. Step 4: Simplify right side
    96.68x = 9,371.49
  5. Step 5: Solve for x
    x = 9,371.49/96.68
  6. Step 6: Final answer
    x = 96.93

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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.