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Finding the Fourth Proportional to 101.84, 140.46 and 89.54

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Solution

The fourth proportional to 101.84, 140.46 and 89.54 is: 123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.84 : 140.46 = 89.54 : x
  2. Step 2: Convert to fraction form
    101.84/140.46 = 89.54/x
  3. Step 3: Cross multiply
    101.84x = 140.46 × 89.54
  4. Step 4: Simplify right side
    101.84x = 12,576.09
  5. Step 5: Solve for x
    x = 12,576.09/101.84
  6. Step 6: Final answer
    x = 123.49

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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.