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Finding the Fourth Proportional to 155.82, 233.94 and 83.76

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Solution

The fourth proportional to 155.82, 233.94 and 83.76 is: 125.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.82 : 233.94 = 83.76 : x
  2. Step 2: Convert to fraction form
    155.82/233.94 = 83.76/x
  3. Step 3: Cross multiply
    155.82x = 233.94 × 83.76
  4. Step 4: Simplify right side
    155.82x = 19,594.81
  5. Step 5: Solve for x
    x = 19,594.81/155.82
  6. Step 6: Final answer
    x = 125.75

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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.