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Finding the Fourth Proportional to 84.43, 125.60 and 84.16

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Solution

The fourth proportional to 84.43, 125.60 and 84.16 is: 125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.43 : 125.60 = 84.16 : x
  2. Step 2: Convert to fraction form
    84.43/125.60 = 84.16/x
  3. Step 3: Cross multiply
    84.43x = 125.60 × 84.16
  4. Step 4: Simplify right side
    84.43x = 10,570.50
  5. Step 5: Solve for x
    x = 10,570.50/84.43
  6. Step 6: Final answer
    x = 125.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.