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Finding the Fourth Proportional to 112.80, 167.04 and 112.80

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Solution

The fourth proportional to 112.80, 167.04 and 112.80 is: 167.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.80 : 167.04 = 112.80 : x
  2. Step 2: Convert to fraction form
    112.80/167.04 = 112.80/x
  3. Step 3: Cross multiply
    112.80x = 167.04 × 112.80
  4. Step 4: Simplify right side
    112.80x = 18,842.11
  5. Step 5: Solve for x
    x = 18,842.11/112.80
  6. Step 6: Final answer
    x = 167.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.