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Finding the Fourth Proportional to 98.31, 147.41 and 52.64

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Solution

The fourth proportional to 98.31, 147.41 and 52.64 is: 78.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.31 : 147.41 = 52.64 : x
  2. Step 2: Convert to fraction form
    98.31/147.41 = 52.64/x
  3. Step 3: Cross multiply
    98.31x = 147.41 × 52.64
  4. Step 4: Simplify right side
    98.31x = 7,759.66
  5. Step 5: Solve for x
    x = 7,759.66/98.31
  6. Step 6: Final answer
    x = 78.93

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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.