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Finding the Fourth Proportional to 98.08, 147 and 91.84

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Solution

The fourth proportional to 98.08, 147 and 91.84 is: 137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.08 : 147 = 91.84 : x
  2. Step 2: Convert to fraction form
    98.08/147 = 91.84/x
  3. Step 3: Cross multiply
    98.08x = 147 × 91.84
  4. Step 4: Simplify right side
    98.08x = 13,500.48
  5. Step 5: Solve for x
    x = 13,500.48/98.08
  6. Step 6: Final answer
    x = 137.65

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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.