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Finding the Fourth Proportional to 72.91, 109.34 and 29.57

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Solution

The fourth proportional to 72.91, 109.34 and 29.57 is: 44.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.91 : 109.34 = 29.57 : x
  2. Step 2: Convert to fraction form
    72.91/109.34 = 29.57/x
  3. Step 3: Cross multiply
    72.91x = 109.34 × 29.57
  4. Step 4: Simplify right side
    72.91x = 3,233.04
  5. Step 5: Solve for x
    x = 3,233.04/72.91
  6. Step 6: Final answer
    x = 44.35

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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.