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Finding the Fourth Proportional to 104.40, 144.72 and 97.56

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Solution

The fourth proportional to 104.40, 144.72 and 97.56 is: 135.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.40 : 144.72 = 97.56 : x
  2. Step 2: Convert to fraction form
    104.40/144.72 = 97.56/x
  3. Step 3: Cross multiply
    104.40x = 144.72 × 97.56
  4. Step 4: Simplify right side
    104.40x = 14,118.88
  5. Step 5: Solve for x
    x = 14,118.88/104.40
  6. Step 6: Final answer
    x = 135.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.