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Finding the Fourth Proportional to 98.42, 147.56 and 54.95

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Solution

The fourth proportional to 98.42, 147.56 and 54.95 is: 82.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.42 : 147.56 = 54.95 : x
  2. Step 2: Convert to fraction form
    98.42/147.56 = 54.95/x
  3. Step 3: Cross multiply
    98.42x = 147.56 × 54.95
  4. Step 4: Simplify right side
    98.42x = 8,107.41
  5. Step 5: Solve for x
    x = 8,107.41/98.42
  6. Step 6: Final answer
    x = 82.38

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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.