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Finding the Fourth Proportional to 96.59, 133.06 and 91.46

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Solution

The fourth proportional to 96.59, 133.06 and 91.46 is: 125.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.59 : 133.06 = 91.46 : x
  2. Step 2: Convert to fraction form
    96.59/133.06 = 91.46/x
  3. Step 3: Cross multiply
    96.59x = 133.06 × 91.46
  4. Step 4: Simplify right side
    96.59x = 12,169.67
  5. Step 5: Solve for x
    x = 12,169.67/96.59
  6. Step 6: Final answer
    x = 125.99

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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.