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Finding the Fourth Proportional to 96.07, 132.64 and 61.14

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Solution

The fourth proportional to 96.07, 132.64 and 61.14 is: 84.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.07 : 132.64 = 61.14 : x
  2. Step 2: Convert to fraction form
    96.07/132.64 = 61.14/x
  3. Step 3: Cross multiply
    96.07x = 132.64 × 61.14
  4. Step 4: Simplify right side
    96.07x = 8,109.61
  5. Step 5: Solve for x
    x = 8,109.61/96.07
  6. Step 6: Final answer
    x = 84.41

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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.