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Finding the Fourth Proportional to 98.17, 147.13 and 52.43

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Solution

The fourth proportional to 98.17, 147.13 and 52.43 is: 78.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.17 : 147.13 = 52.43 : x
  2. Step 2: Convert to fraction form
    98.17/147.13 = 52.43/x
  3. Step 3: Cross multiply
    98.17x = 147.13 × 52.43
  4. Step 4: Simplify right side
    98.17x = 7,713.29
  5. Step 5: Solve for x
    x = 7,713.29/98.17
  6. Step 6: Final answer
    x = 78.57

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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.