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Finding the Fourth Proportional to 148.56, 205 and 86.41

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Solution

The fourth proportional to 148.56, 205 and 86.41 is: 119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.56 : 205 = 86.41 : x
  2. Step 2: Convert to fraction form
    148.56/205 = 86.41/x
  3. Step 3: Cross multiply
    148.56x = 205 × 86.41
  4. Step 4: Simplify right side
    148.56x = 17,714.05
  5. Step 5: Solve for x
    x = 17,714.05/148.56
  6. Step 6: Final answer
    x = 119.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.