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Finding the Fourth Proportional to 98.46, 134.78 and 95.18

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Solution

The fourth proportional to 98.46, 134.78 and 95.18 is: 130.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.46 : 134.78 = 95.18 : x
  2. Step 2: Convert to fraction form
    98.46/134.78 = 95.18/x
  3. Step 3: Cross multiply
    98.46x = 134.78 × 95.18
  4. Step 4: Simplify right side
    98.46x = 12,827.88
  5. Step 5: Solve for x
    x = 12,827.88/98.46
  6. Step 6: Final answer
    x = 130.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.