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Finding the Fourth Proportional to 112.23, 168.28 and 78.01

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Solution

The fourth proportional to 112.23, 168.28 and 78.01 is: 116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.23 : 168.28 = 78.01 : x
  2. Step 2: Convert to fraction form
    112.23/168.28 = 78.01/x
  3. Step 3: Cross multiply
    112.23x = 168.28 × 78.01
  4. Step 4: Simplify right side
    112.23x = 13,126.91
  5. Step 5: Solve for x
    x = 13,126.91/112.23
  6. Step 6: Final answer
    x = 116.96

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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.