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Finding the Fourth Proportional to 157.11, 235.46 and 75.78

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Solution

The fourth proportional to 157.11, 235.46 and 75.78 is: 113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.11 : 235.46 = 75.78 : x
  2. Step 2: Convert to fraction form
    157.11/235.46 = 75.78/x
  3. Step 3: Cross multiply
    157.11x = 235.46 × 75.78
  4. Step 4: Simplify right side
    157.11x = 17,842.78
  5. Step 5: Solve for x
    x = 17,842.78/157.11
  6. Step 6: Final answer
    x = 113.57

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Why These Related Problems?

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