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Finding the Fourth Proportional to 100.80, 138.24 and 95.04

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Solution

The fourth proportional to 100.80, 138.24 and 95.04 is: 130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.80 : 138.24 = 95.04 : x
  2. Step 2: Convert to fraction form
    100.80/138.24 = 95.04/x
  3. Step 3: Cross multiply
    100.80x = 138.24 × 95.04
  4. Step 4: Simplify right side
    100.80x = 13,138.33
  5. Step 5: Solve for x
    x = 13,138.33/100.80
  6. Step 6: Final answer
    x = 130.34

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.