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Finding the Fourth Proportional to 97.99, 147.04 and 52.33

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Solution

The fourth proportional to 97.99, 147.04 and 52.33 is: 78.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.99 : 147.04 = 52.33 : x
  2. Step 2: Convert to fraction form
    97.99/147.04 = 52.33/x
  3. Step 3: Cross multiply
    97.99x = 147.04 × 52.33
  4. Step 4: Simplify right side
    97.99x = 7,694.10
  5. Step 5: Solve for x
    x = 7,694.10/97.99
  6. Step 6: Final answer
    x = 78.52

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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.