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Finding the Fourth Proportional to 84.28, 115.98 and 71.32

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Solution

The fourth proportional to 84.28, 115.98 and 71.32 is: 98.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.28 : 115.98 = 71.32 : x
  2. Step 2: Convert to fraction form
    84.28/115.98 = 71.32/x
  3. Step 3: Cross multiply
    84.28x = 115.98 × 71.32
  4. Step 4: Simplify right side
    84.28x = 8,271.69
  5. Step 5: Solve for x
    x = 8,271.69/84.28
  6. Step 6: Final answer
    x = 98.15

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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.