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Finding the Fourth Proportional to 112.76, 156.38 and 101.96

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Solution

The fourth proportional to 112.76, 156.38 and 101.96 is: 141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.76 : 156.38 = 101.96 : x
  2. Step 2: Convert to fraction form
    112.76/156.38 = 101.96/x
  3. Step 3: Cross multiply
    112.76x = 156.38 × 101.96
  4. Step 4: Simplify right side
    112.76x = 15,944.50
  5. Step 5: Solve for x
    x = 15,944.50/112.76
  6. Step 6: Final answer
    x = 141.40

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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.