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Finding the Fourth Proportional to 84.02, 116.02 and 71.60

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Solution

The fourth proportional to 84.02, 116.02 and 71.60 is: 98.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.02 : 116.02 = 71.60 : x
  2. Step 2: Convert to fraction form
    84.02/116.02 = 71.60/x
  3. Step 3: Cross multiply
    84.02x = 116.02 × 71.60
  4. Step 4: Simplify right side
    84.02x = 8,307.03
  5. Step 5: Solve for x
    x = 8,307.03/84.02
  6. Step 6: Final answer
    x = 98.87

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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.