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Finding the Fourth Proportional to 157.42, 235.57 and 111.86

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Solution

The fourth proportional to 157.42, 235.57 and 111.86 is: 167.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.42 : 235.57 = 111.86 : x
  2. Step 2: Convert to fraction form
    157.42/235.57 = 111.86/x
  3. Step 3: Cross multiply
    157.42x = 235.57 × 111.86
  4. Step 4: Simplify right side
    157.42x = 26,350.86
  5. Step 5: Solve for x
    x = 26,350.86/157.42
  6. Step 6: Final answer
    x = 167.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.