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Finding the Fourth Proportional to 98.14, 147.14 and 52.47

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Solution

The fourth proportional to 98.14, 147.14 and 52.47 is: 78.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.14 : 147.14 = 52.47 : x
  2. Step 2: Convert to fraction form
    98.14/147.14 = 52.47/x
  3. Step 3: Cross multiply
    98.14x = 147.14 × 52.47
  4. Step 4: Simplify right side
    98.14x = 7,720.93
  5. Step 5: Solve for x
    x = 7,720.93/98.14
  6. Step 6: Final answer
    x = 78.68

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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.