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Finding the Fourth Proportional to 97.80, 146.75 and 51.57

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Solution

The fourth proportional to 97.80, 146.75 and 51.57 is: 77.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.80 : 146.75 = 51.57 : x
  2. Step 2: Convert to fraction form
    97.80/146.75 = 51.57/x
  3. Step 3: Cross multiply
    97.80x = 146.75 × 51.57
  4. Step 4: Simplify right side
    97.80x = 7,567.64
  5. Step 5: Solve for x
    x = 7,567.64/97.80
  6. Step 6: Final answer
    x = 77.38

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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.