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Finding the Fourth Proportional to 49.42, 68.20 and 31.00

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Solution

The fourth proportional to 49.42, 68.20 and 31.00 is: 42.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.42 : 68.20 = 31.00 : x
  2. Step 2: Convert to fraction form
    49.42/68.20 = 31.00/x
  3. Step 3: Cross multiply
    49.42x = 68.20 × 31.00
  4. Step 4: Simplify right side
    49.42x = 2,113.70
  5. Step 5: Solve for x
    x = 2,113.70/49.42
  6. Step 6: Final answer
    x = 42.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.