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Finding the Fourth Proportional to 97.80, 146.58 and 52

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Solution

The fourth proportional to 97.80, 146.58 and 52 is: 77.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.80 : 146.58 = 52 : x
  2. Step 2: Convert to fraction form
    97.80/146.58 = 52/x
  3. Step 3: Cross multiply
    97.80x = 146.58 × 52
  4. Step 4: Simplify right side
    97.80x = 7,622.16
  5. Step 5: Solve for x
    x = 7,622.16/97.80
  6. Step 6: Final answer
    x = 77.94

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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.