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Finding the Fourth Proportional to 90.25, 123.71 and 90.09

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Solution

The fourth proportional to 90.25, 123.71 and 90.09 is: 123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.25 : 123.71 = 90.09 : x
  2. Step 2: Convert to fraction form
    90.25/123.71 = 90.09/x
  3. Step 3: Cross multiply
    90.25x = 123.71 × 90.09
  4. Step 4: Simplify right side
    90.25x = 11,145.03
  5. Step 5: Solve for x
    x = 11,145.03/90.25
  6. Step 6: Final answer
    x = 123.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.