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Finding the Fourth Proportional to 98.32, 147.42 and 57.73

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Solution

The fourth proportional to 98.32, 147.42 and 57.73 is: 86.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.32 : 147.42 = 57.73 : x
  2. Step 2: Convert to fraction form
    98.32/147.42 = 57.73/x
  3. Step 3: Cross multiply
    98.32x = 147.42 × 57.73
  4. Step 4: Simplify right side
    98.32x = 8,510.56
  5. Step 5: Solve for x
    x = 8,510.56/98.32
  6. Step 6: Final answer
    x = 86.56

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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.