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Finding the Fourth Proportional to 157.97, 218.04 and 111.35

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Solution

The fourth proportional to 157.97, 218.04 and 111.35 is: 153.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.97 : 218.04 = 111.35 : x
  2. Step 2: Convert to fraction form
    157.97/218.04 = 111.35/x
  3. Step 3: Cross multiply
    157.97x = 218.04 × 111.35
  4. Step 4: Simplify right side
    157.97x = 24,278.75
  5. Step 5: Solve for x
    x = 24,278.75/157.97
  6. Step 6: Final answer
    x = 153.69

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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.