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Finding the Fourth Proportional to 112.63, 156.15 and 106.78

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Solution

The fourth proportional to 112.63, 156.15 and 106.78 is: 148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.63 : 156.15 = 106.78 : x
  2. Step 2: Convert to fraction form
    112.63/156.15 = 106.78/x
  3. Step 3: Cross multiply
    112.63x = 156.15 × 106.78
  4. Step 4: Simplify right side
    112.63x = 16,672.38
  5. Step 5: Solve for x
    x = 16,672.38/112.63
  6. Step 6: Final answer
    x = 148.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.