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Finding the Fourth Proportional to 73.10, 109.66 and 21.74

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Solution

The fourth proportional to 73.10, 109.66 and 21.74 is: 32.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.10 : 109.66 = 21.74 : x
  2. Step 2: Convert to fraction form
    73.10/109.66 = 21.74/x
  3. Step 3: Cross multiply
    73.10x = 109.66 × 21.74
  4. Step 4: Simplify right side
    73.10x = 2,384.23
  5. Step 5: Solve for x
    x = 2,384.23/73.10
  6. Step 6: Final answer
    x = 32.61

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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.