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Finding the Fourth Proportional to 89.14, 134.26 and 71.23

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Solution

The fourth proportional to 89.14, 134.26 and 71.23 is: 107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.14 : 134.26 = 71.23 : x
  2. Step 2: Convert to fraction form
    89.14/134.26 = 71.23/x
  3. Step 3: Cross multiply
    89.14x = 134.26 × 71.23
  4. Step 4: Simplify right side
    89.14x = 9,563.34
  5. Step 5: Solve for x
    x = 9,563.34/89.14
  6. Step 6: Final answer
    x = 107.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.