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Finding the Fourth Proportional to 112.64, 155.49 and 83.48

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Solution

The fourth proportional to 112.64, 155.49 and 83.48 is: 115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.64 : 155.49 = 83.48 : x
  2. Step 2: Convert to fraction form
    112.64/155.49 = 83.48/x
  3. Step 3: Cross multiply
    112.64x = 155.49 × 83.48
  4. Step 4: Simplify right side
    112.64x = 12,980.31
  5. Step 5: Solve for x
    x = 12,980.31/112.64
  6. Step 6: Final answer
    x = 115.24

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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.