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Finding the Fourth Proportional to 73.13, 109.53 and 53.82

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Solution

The fourth proportional to 73.13, 109.53 and 53.82 is: 80.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.13 : 109.53 = 53.82 : x
  2. Step 2: Convert to fraction form
    73.13/109.53 = 53.82/x
  3. Step 3: Cross multiply
    73.13x = 109.53 × 53.82
  4. Step 4: Simplify right side
    73.13x = 5,894.90
  5. Step 5: Solve for x
    x = 5,894.90/73.13
  6. Step 6: Final answer
    x = 80.61

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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.