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Finding the Fourth Proportional to 89.74, 133.96 and 83.40

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Solution

The fourth proportional to 89.74, 133.96 and 83.40 is: 124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.74 : 133.96 = 83.40 : x
  2. Step 2: Convert to fraction form
    89.74/133.96 = 83.40/x
  3. Step 3: Cross multiply
    89.74x = 133.96 × 83.40
  4. Step 4: Simplify right side
    89.74x = 11,172.26
  5. Step 5: Solve for x
    x = 11,172.26/89.74
  6. Step 6: Final answer
    x = 124.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.