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Finding the Fourth Proportional to 72.83, 109.23 and 24.74

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Solution

The fourth proportional to 72.83, 109.23 and 24.74 is: 37.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.83 : 109.23 = 24.74 : x
  2. Step 2: Convert to fraction form
    72.83/109.23 = 24.74/x
  3. Step 3: Cross multiply
    72.83x = 109.23 × 24.74
  4. Step 4: Simplify right side
    72.83x = 2,701.80
  5. Step 5: Solve for x
    x = 2,701.80/72.83
  6. Step 6: Final answer
    x = 37.10

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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.