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Finding the Fourth Proportional to 113.75, 157.01 and 109.31

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Solution

The fourth proportional to 113.75, 157.01 and 109.31 is: 150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.75 : 157.01 = 109.31 : x
  2. Step 2: Convert to fraction form
    113.75/157.01 = 109.31/x
  3. Step 3: Cross multiply
    113.75x = 157.01 × 109.31
  4. Step 4: Simplify right side
    113.75x = 17,162.76
  5. Step 5: Solve for x
    x = 17,162.76/113.75
  6. Step 6: Final answer
    x = 150.88

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