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Finding the Fourth Proportional to 96.02, 143.98 and 35.12

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Solution

The fourth proportional to 96.02, 143.98 and 35.12 is: 52.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.02 : 143.98 = 35.12 : x
  2. Step 2: Convert to fraction form
    96.02/143.98 = 35.12/x
  3. Step 3: Cross multiply
    96.02x = 143.98 × 35.12
  4. Step 4: Simplify right side
    96.02x = 5,056.65
  5. Step 5: Solve for x
    x = 5,056.65/96.02
  6. Step 6: Final answer
    x = 52.66

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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.