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Finding the Fourth Proportional to 90.06, 123.90 and 74.34

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Solution

The fourth proportional to 90.06, 123.90 and 74.34 is: 102.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.06 : 123.90 = 74.34 : x
  2. Step 2: Convert to fraction form
    90.06/123.90 = 74.34/x
  3. Step 3: Cross multiply
    90.06x = 123.90 × 74.34
  4. Step 4: Simplify right side
    90.06x = 9,210.73
  5. Step 5: Solve for x
    x = 9,210.73/90.06
  6. Step 6: Final answer
    x = 102.27

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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.