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Finding the Fourth Proportional to 84.10, 116.02 and 71.80

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Solution

The fourth proportional to 84.10, 116.02 and 71.80 is: 99.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.10 : 116.02 = 71.80 : x
  2. Step 2: Convert to fraction form
    84.10/116.02 = 71.80/x
  3. Step 3: Cross multiply
    84.10x = 116.02 × 71.80
  4. Step 4: Simplify right side
    84.10x = 8,330.24
  5. Step 5: Solve for x
    x = 8,330.24/84.10
  6. Step 6: Final answer
    x = 99.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.