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Finding the Fourth Proportional to 84.40, 116.47 and 49.45

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Solution

The fourth proportional to 84.40, 116.47 and 49.45 is: 68.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.40 : 116.47 = 49.45 : x
  2. Step 2: Convert to fraction form
    84.40/116.47 = 49.45/x
  3. Step 3: Cross multiply
    84.40x = 116.47 × 49.45
  4. Step 4: Simplify right side
    84.40x = 5,759.03
  5. Step 5: Solve for x
    x = 5,759.03/84.40
  6. Step 6: Final answer
    x = 68.24

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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.