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Finding the Fourth Proportional to 100.44, 138.54 and 71.34

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Solution

The fourth proportional to 100.44, 138.54 and 71.34 is: 98.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.44 : 138.54 = 71.34 : x
  2. Step 2: Convert to fraction form
    100.44/138.54 = 71.34/x
  3. Step 3: Cross multiply
    100.44x = 138.54 × 71.34
  4. Step 4: Simplify right side
    100.44x = 9,883.44
  5. Step 5: Solve for x
    x = 9,883.44/100.44
  6. Step 6: Final answer
    x = 98.40

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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.