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Finding the Fourth Proportional to 410, 615 and 106

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Solution

The fourth proportional to 410, 615 and 106 is: 159

Step by Step Solution

  1. Step 1: Write the proportion equation
    410 : 615 = 106 : x
  2. Step 2: Convert to fraction form
    410/615 = 106/x
  3. Step 3: Cross multiply
    410x = 615 × 106
  4. Step 4: Simplify right side
    410x = 65,190
  5. Step 5: Solve for x
    x = 65,190/410
  6. Step 6: Final answer
    x = 159

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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.