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Finding the Fourth Proportional to 113.06, 170.47 and 104.42

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Solution

The fourth proportional to 113.06, 170.47 and 104.42 is: 157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.06 : 170.47 = 104.42 : x
  2. Step 2: Convert to fraction form
    113.06/170.47 = 104.42/x
  3. Step 3: Cross multiply
    113.06x = 170.47 × 104.42
  4. Step 4: Simplify right side
    113.06x = 17,801.03
  5. Step 5: Solve for x
    x = 17,801.03/113.06
  6. Step 6: Final answer
    x = 157.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.