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Finding the Fourth Proportional to 133.10, 183.69 and 89.45

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Solution

The fourth proportional to 133.10, 183.69 and 89.45 is: 123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.10 : 183.69 = 89.45 : x
  2. Step 2: Convert to fraction form
    133.10/183.69 = 89.45/x
  3. Step 3: Cross multiply
    133.10x = 183.69 × 89.45
  4. Step 4: Simplify right side
    133.10x = 16,431.07
  5. Step 5: Solve for x
    x = 16,431.07/133.10
  6. Step 6: Final answer
    x = 123.45

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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.