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Finding the Fourth Proportional to 96.61, 144.66 and 64.05

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Solution

The fourth proportional to 96.61, 144.66 and 64.05 is: 95.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.61 : 144.66 = 64.05 : x
  2. Step 2: Convert to fraction form
    96.61/144.66 = 64.05/x
  3. Step 3: Cross multiply
    96.61x = 144.66 × 64.05
  4. Step 4: Simplify right side
    96.61x = 9,265.47
  5. Step 5: Solve for x
    x = 9,265.47/96.61
  6. Step 6: Final answer
    x = 95.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.