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Finding the Fourth Proportional to 84.88, 117.03 and 71.11

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Solution

The fourth proportional to 84.88, 117.03 and 71.11 is: 98.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.88 : 117.03 = 71.11 : x
  2. Step 2: Convert to fraction form
    84.88/117.03 = 71.11/x
  3. Step 3: Cross multiply
    84.88x = 117.03 × 71.11
  4. Step 4: Simplify right side
    84.88x = 8,322.00
  5. Step 5: Solve for x
    x = 8,322.00/84.88
  6. Step 6: Final answer
    x = 98.04

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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.