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Finding the Fourth Proportional to 96.71, 145.71 and 89.33

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Solution

The fourth proportional to 96.71, 145.71 and 89.33 is: 134.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.71 : 145.71 = 89.33 : x
  2. Step 2: Convert to fraction form
    96.71/145.71 = 89.33/x
  3. Step 3: Cross multiply
    96.71x = 145.71 × 89.33
  4. Step 4: Simplify right side
    96.71x = 13,016.27
  5. Step 5: Solve for x
    x = 13,016.27/96.71
  6. Step 6: Final answer
    x = 134.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.