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Finding the Fourth Proportional to 84.60, 110.10 and 84.60

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Solution

The fourth proportional to 84.60, 110.10 and 84.60 is: 110.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.60 : 110.10 = 84.60 : x
  2. Step 2: Convert to fraction form
    84.60/110.10 = 84.60/x
  3. Step 3: Cross multiply
    84.60x = 110.10 × 84.60
  4. Step 4: Simplify right side
    84.60x = 9,314.46
  5. Step 5: Solve for x
    x = 9,314.46/84.60
  6. Step 6: Final answer
    x = 110.10

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.