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Finding the Fourth Proportional to 104.23, 157.12 and 86.41

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Solution

The fourth proportional to 104.23, 157.12 and 86.41 is: 130.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.23 : 157.12 = 86.41 : x
  2. Step 2: Convert to fraction form
    104.23/157.12 = 86.41/x
  3. Step 3: Cross multiply
    104.23x = 157.12 × 86.41
  4. Step 4: Simplify right side
    104.23x = 13,576.74
  5. Step 5: Solve for x
    x = 13,576.74/104.23
  6. Step 6: Final answer
    x = 130.26

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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.