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Finding the Fourth Proportional to 97.34, 145.94 and 54.59

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Solution

The fourth proportional to 97.34, 145.94 and 54.59 is: 81.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.34 : 145.94 = 54.59 : x
  2. Step 2: Convert to fraction form
    97.34/145.94 = 54.59/x
  3. Step 3: Cross multiply
    97.34x = 145.94 × 54.59
  4. Step 4: Simplify right side
    97.34x = 7,965.86
  5. Step 5: Solve for x
    x = 7,965.86/97.34
  6. Step 6: Final answer
    x = 81.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.