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Finding the Fourth Proportional to 112.68, 154.38 and 111.16

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Solution

The fourth proportional to 112.68, 154.38 and 111.16 is: 152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.68 : 154.38 = 111.16 : x
  2. Step 2: Convert to fraction form
    112.68/154.38 = 111.16/x
  3. Step 3: Cross multiply
    112.68x = 154.38 × 111.16
  4. Step 4: Simplify right side
    112.68x = 17,160.88
  5. Step 5: Solve for x
    x = 17,160.88/112.68
  6. Step 6: Final answer
    x = 152.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.