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Finding the Fourth Proportional to 97.26, 145.84 and 32.24

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Solution

The fourth proportional to 97.26, 145.84 and 32.24 is: 48.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.26 : 145.84 = 32.24 : x
  2. Step 2: Convert to fraction form
    97.26/145.84 = 32.24/x
  3. Step 3: Cross multiply
    97.26x = 145.84 × 32.24
  4. Step 4: Simplify right side
    97.26x = 4,701.88
  5. Step 5: Solve for x
    x = 4,701.88/97.26
  6. Step 6: Final answer
    x = 48.34

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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.