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Finding the Fourth Proportional to 73.52, 110.08 and 51.80

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Solution

The fourth proportional to 73.52, 110.08 and 51.80 is: 77.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.52 : 110.08 = 51.80 : x
  2. Step 2: Convert to fraction form
    73.52/110.08 = 51.80/x
  3. Step 3: Cross multiply
    73.52x = 110.08 × 51.80
  4. Step 4: Simplify right side
    73.52x = 5,702.14
  5. Step 5: Solve for x
    x = 5,702.14/73.52
  6. Step 6: Final answer
    x = 77.56

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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.