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Finding the Fourth Proportional to 97.71, 146.34 and 51.98

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Solution

The fourth proportional to 97.71, 146.34 and 51.98 is: 77.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.71 : 146.34 = 51.98 : x
  2. Step 2: Convert to fraction form
    97.71/146.34 = 51.98/x
  3. Step 3: Cross multiply
    97.71x = 146.34 × 51.98
  4. Step 4: Simplify right side
    97.71x = 7,606.02
  5. Step 5: Solve for x
    x = 7,606.02/97.71
  6. Step 6: Final answer
    x = 77.85

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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.