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Finding the Fourth Proportional to 75.65, 113.54 and 54.05

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Solution

The fourth proportional to 75.65, 113.54 and 54.05 is: 81.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.65 : 113.54 = 54.05 : x
  2. Step 2: Convert to fraction form
    75.65/113.54 = 54.05/x
  3. Step 3: Cross multiply
    75.65x = 113.54 × 54.05
  4. Step 4: Simplify right side
    75.65x = 6,136.00
  5. Step 5: Solve for x
    x = 6,136.00/75.65
  6. Step 6: Final answer
    x = 81.12

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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.