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Finding the Fourth Proportional to 97.99, 135.22 and 54.32

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Solution

The fourth proportional to 97.99, 135.22 and 54.32 is: 74.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.99 : 135.22 = 54.32 : x
  2. Step 2: Convert to fraction form
    97.99/135.22 = 54.32/x
  3. Step 3: Cross multiply
    97.99x = 135.22 × 54.32
  4. Step 4: Simplify right side
    97.99x = 7,345.62
  5. Step 5: Solve for x
    x = 7,345.62/97.99
  6. Step 6: Final answer
    x = 74.97

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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.