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Finding the Fourth Proportional to 98.76, 147.84 and 75.84

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Solution

The fourth proportional to 98.76, 147.84 and 75.84 is: 113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.76 : 147.84 = 75.84 : x
  2. Step 2: Convert to fraction form
    98.76/147.84 = 75.84/x
  3. Step 3: Cross multiply
    98.76x = 147.84 × 75.84
  4. Step 4: Simplify right side
    98.76x = 11,212.19
  5. Step 5: Solve for x
    x = 11,212.19/98.76
  6. Step 6: Final answer
    x = 113.53

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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.