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Finding the Fourth Proportional to 104.54, 157.44 and 91.18

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Solution

The fourth proportional to 104.54, 157.44 and 91.18 is: 137.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.54 : 157.44 = 91.18 : x
  2. Step 2: Convert to fraction form
    104.54/157.44 = 91.18/x
  3. Step 3: Cross multiply
    104.54x = 157.44 × 91.18
  4. Step 4: Simplify right side
    104.54x = 14,354.99
  5. Step 5: Solve for x
    x = 14,354.99/104.54
  6. Step 6: Final answer
    x = 137.31

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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.