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Finding the Fourth Proportional to 112.39, 167.64 and 98.08

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Solution

The fourth proportional to 112.39, 167.64 and 98.08 is: 146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.39 : 167.64 = 98.08 : x
  2. Step 2: Convert to fraction form
    112.39/167.64 = 98.08/x
  3. Step 3: Cross multiply
    112.39x = 167.64 × 98.08
  4. Step 4: Simplify right side
    112.39x = 16,442.13
  5. Step 5: Solve for x
    x = 16,442.13/112.39
  6. Step 6: Final answer
    x = 146.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.