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Finding the Fourth Proportional to 97.98, 135.22 and 54.32

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Solution

The fourth proportional to 97.98, 135.22 and 54.32 is: 74.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.98 : 135.22 = 54.32 : x
  2. Step 2: Convert to fraction form
    97.98/135.22 = 54.32/x
  3. Step 3: Cross multiply
    97.98x = 135.22 × 54.32
  4. Step 4: Simplify right side
    97.98x = 7,345.15
  5. Step 5: Solve for x
    x = 7,345.15/97.98
  6. Step 6: Final answer
    x = 74.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.