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Finding the Fourth Proportional to 112.16, 154.70 and 78.94

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Solution

The fourth proportional to 112.16, 154.70 and 78.94 is: 108.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.16 : 154.70 = 78.94 : x
  2. Step 2: Convert to fraction form
    112.16/154.70 = 78.94/x
  3. Step 3: Cross multiply
    112.16x = 154.70 × 78.94
  4. Step 4: Simplify right side
    112.16x = 12,212.02
  5. Step 5: Solve for x
    x = 12,212.02/112.16
  6. Step 6: Final answer
    x = 108.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.