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Finding the Fourth Proportional to 89.45, 133.65 and 66.21

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Solution

The fourth proportional to 89.45, 133.65 and 66.21 is: 98.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.45 : 133.65 = 66.21 : x
  2. Step 2: Convert to fraction form
    89.45/133.65 = 66.21/x
  3. Step 3: Cross multiply
    89.45x = 133.65 × 66.21
  4. Step 4: Simplify right side
    89.45x = 8,848.97
  5. Step 5: Solve for x
    x = 8,848.97/89.45
  6. Step 6: Final answer
    x = 98.93

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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.