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Finding the Fourth Proportional to 98.19, 147.06 and 76.40

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Solution

The fourth proportional to 98.19, 147.06 and 76.40 is: 114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.19 : 147.06 = 76.40 : x
  2. Step 2: Convert to fraction form
    98.19/147.06 = 76.40/x
  3. Step 3: Cross multiply
    98.19x = 147.06 × 76.40
  4. Step 4: Simplify right side
    98.19x = 11,235.00
  5. Step 5: Solve for x
    x = 11,235.00/98.19
  6. Step 6: Final answer
    x = 114.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.