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Finding the Fourth Proportional to 98.59, 147.75 and 76.85

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Solution

The fourth proportional to 98.59, 147.75 and 76.85 is: 115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.59 : 147.75 = 76.85 : x
  2. Step 2: Convert to fraction form
    98.59/147.75 = 76.85/x
  3. Step 3: Cross multiply
    98.59x = 147.75 × 76.85
  4. Step 4: Simplify right side
    98.59x = 11,354.59
  5. Step 5: Solve for x
    x = 11,354.59/98.59
  6. Step 6: Final answer
    x = 115.17

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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.