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Finding the Fourth Proportional to 97.90, 135.09 and 54.22

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Solution

The fourth proportional to 97.90, 135.09 and 54.22 is: 74.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.90 : 135.09 = 54.22 : x
  2. Step 2: Convert to fraction form
    97.90/135.09 = 54.22/x
  3. Step 3: Cross multiply
    97.90x = 135.09 × 54.22
  4. Step 4: Simplify right side
    97.90x = 7,324.58
  5. Step 5: Solve for x
    x = 7,324.58/97.90
  6. Step 6: Final answer
    x = 74.82

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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.