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Finding the Fourth Proportional to 84.10, 116.06 and 50.91

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Solution

The fourth proportional to 84.10, 116.06 and 50.91 is: 70.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.10 : 116.06 = 50.91 : x
  2. Step 2: Convert to fraction form
    84.10/116.06 = 50.91/x
  3. Step 3: Cross multiply
    84.10x = 116.06 × 50.91
  4. Step 4: Simplify right side
    84.10x = 5,908.61
  5. Step 5: Solve for x
    x = 5,908.61/84.10
  6. Step 6: Final answer
    x = 70.26

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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.