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Finding the Fourth Proportional to 98.58, 147.74 and 75.68

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Solution

The fourth proportional to 98.58, 147.74 and 75.68 is: 113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.58 : 147.74 = 75.68 : x
  2. Step 2: Convert to fraction form
    98.58/147.74 = 75.68/x
  3. Step 3: Cross multiply
    98.58x = 147.74 × 75.68
  4. Step 4: Simplify right side
    98.58x = 11,180.96
  5. Step 5: Solve for x
    x = 11,180.96/98.58
  6. Step 6: Final answer
    x = 113.42

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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.