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Finding the Fourth Proportional to 112.49, 168.51 and 93.15

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Solution

The fourth proportional to 112.49, 168.51 and 93.15 is: 139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.49 : 168.51 = 93.15 : x
  2. Step 2: Convert to fraction form
    112.49/168.51 = 93.15/x
  3. Step 3: Cross multiply
    112.49x = 168.51 × 93.15
  4. Step 4: Simplify right side
    112.49x = 15,697.06
  5. Step 5: Solve for x
    x = 15,697.06/112.49
  6. Step 6: Final answer
    x = 139.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.