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Finding the Fourth Proportional to 157.27, 235.71 and 76

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Solution

The fourth proportional to 157.27, 235.71 and 76 is: 113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.27 : 235.71 = 76 : x
  2. Step 2: Convert to fraction form
    157.27/235.71 = 76/x
  3. Step 3: Cross multiply
    157.27x = 235.71 × 76
  4. Step 4: Simplify right side
    157.27x = 17,913.96
  5. Step 5: Solve for x
    x = 17,913.96/157.27
  6. Step 6: Final answer
    x = 113.91

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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.