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Finding the Fourth Proportional to 97.23, 145.84 and 32.23

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Solution

The fourth proportional to 97.23, 145.84 and 32.23 is: 48.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.23 : 145.84 = 32.23 : x
  2. Step 2: Convert to fraction form
    97.23/145.84 = 32.23/x
  3. Step 3: Cross multiply
    97.23x = 145.84 × 32.23
  4. Step 4: Simplify right side
    97.23x = 4,700.42
  5. Step 5: Solve for x
    x = 4,700.42/97.23
  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.