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Finding the Fourth Proportional to 112.32, 154.89 and 83.16

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Solution

The fourth proportional to 112.32, 154.89 and 83.16 is: 114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.32 : 154.89 = 83.16 : x
  2. Step 2: Convert to fraction form
    112.32/154.89 = 83.16/x
  3. Step 3: Cross multiply
    112.32x = 154.89 × 83.16
  4. Step 4: Simplify right side
    112.32x = 12,880.65
  5. Step 5: Solve for x
    x = 12,880.65/112.32
  6. Step 6: Final answer
    x = 114.68

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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.