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Finding the Fourth Proportional to 96.48, 144.66 and 35.62

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Solution

The fourth proportional to 96.48, 144.66 and 35.62 is: 53.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.48 : 144.66 = 35.62 : x
  2. Step 2: Convert to fraction form
    96.48/144.66 = 35.62/x
  3. Step 3: Cross multiply
    96.48x = 144.66 × 35.62
  4. Step 4: Simplify right side
    96.48x = 5,152.79
  5. Step 5: Solve for x
    x = 5,152.79/96.48
  6. Step 6: Final answer
    x = 53.41

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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.