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Finding the Fourth Proportional to 96.54, 143.88 and 91.41

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Solution

The fourth proportional to 96.54, 143.88 and 91.41 is: 136.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.54 : 143.88 = 91.41 : x
  2. Step 2: Convert to fraction form
    96.54/143.88 = 91.41/x
  3. Step 3: Cross multiply
    96.54x = 143.88 × 91.41
  4. Step 4: Simplify right side
    96.54x = 13,152.07
  5. Step 5: Solve for x
    x = 13,152.07/96.54
  6. Step 6: Final answer
    x = 136.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.