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Finding the Fourth Proportional to 282.45, 423.71 and 77.03

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Solution

The fourth proportional to 282.45, 423.71 and 77.03 is: 115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.45 : 423.71 = 77.03 : x
  2. Step 2: Convert to fraction form
    282.45/423.71 = 77.03/x
  3. Step 3: Cross multiply
    282.45x = 423.71 × 77.03
  4. Step 4: Simplify right side
    282.45x = 32,635.88
  5. Step 5: Solve for x
    x = 32,635.88/282.45
  6. Step 6: Final answer
    x = 115.55

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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.