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Finding the Fourth Proportional to 71.28, 106.70 and 49.84

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Solution

The fourth proportional to 71.28, 106.70 and 49.84 is: 74.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.28 : 106.70 = 49.84 : x
  2. Step 2: Convert to fraction form
    71.28/106.70 = 49.84/x
  3. Step 3: Cross multiply
    71.28x = 106.70 × 49.84
  4. Step 4: Simplify right side
    71.28x = 5,317.93
  5. Step 5: Solve for x
    x = 5,317.93/71.28
  6. Step 6: Final answer
    x = 74.61

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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.