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Finding the Fourth Proportional to 73.26, 110 and 53

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Solution

The fourth proportional to 73.26, 110 and 53 is: 79.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.26 : 110 = 53 : x
  2. Step 2: Convert to fraction form
    73.26/110 = 53/x
  3. Step 3: Cross multiply
    73.26x = 110 × 53
  4. Step 4: Simplify right side
    73.26x = 5,830
  5. Step 5: Solve for x
    x = 5,830/73.26
  6. Step 6: Final answer
    x = 79.58

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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.