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Finding the Fourth Proportional to 98.19, 147.17 and 52.49

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Solution

The fourth proportional to 98.19, 147.17 and 52.49 is: 78.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.19 : 147.17 = 52.49 : x
  2. Step 2: Convert to fraction form
    98.19/147.17 = 52.49/x
  3. Step 3: Cross multiply
    98.19x = 147.17 × 52.49
  4. Step 4: Simplify right side
    98.19x = 7,723.96
  5. Step 5: Solve for x
    x = 7,723.96/98.19
  6. Step 6: Final answer
    x = 78.66

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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.