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Finding the Fourth Proportional to 96.02, 143.88 and 44.60

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Solution

The fourth proportional to 96.02, 143.88 and 44.60 is: 66.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.02 : 143.88 = 44.60 : x
  2. Step 2: Convert to fraction form
    96.02/143.88 = 44.60/x
  3. Step 3: Cross multiply
    96.02x = 143.88 × 44.60
  4. Step 4: Simplify right side
    96.02x = 6,417.05
  5. Step 5: Solve for x
    x = 6,417.05/96.02
  6. Step 6: Final answer
    x = 66.83

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Why These Related Problems?

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