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Finding the Fourth Proportional to 112.02, 167.76 and 96.90

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Solution

The fourth proportional to 112.02, 167.76 and 96.90 is: 145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.02 : 167.76 = 96.90 : x
  2. Step 2: Convert to fraction form
    112.02/167.76 = 96.90/x
  3. Step 3: Cross multiply
    112.02x = 167.76 × 96.90
  4. Step 4: Simplify right side
    112.02x = 16,255.94
  5. Step 5: Solve for x
    x = 16,255.94/112.02
  6. Step 6: Final answer
    x = 145.12

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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.