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Finding the Fourth Proportional to 147.58, 220.76 and 104.26

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Solution

The fourth proportional to 147.58, 220.76 and 104.26 is: 155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.58 : 220.76 = 104.26 : x
  2. Step 2: Convert to fraction form
    147.58/220.76 = 104.26/x
  3. Step 3: Cross multiply
    147.58x = 220.76 × 104.26
  4. Step 4: Simplify right side
    147.58x = 23,016.44
  5. Step 5: Solve for x
    x = 23,016.44/147.58
  6. Step 6: Final answer
    x = 155.96

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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.