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Finding the Fourth Proportional to 102.19, 152.98 and 66.05

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Solution

The fourth proportional to 102.19, 152.98 and 66.05 is: 98.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.19 : 152.98 = 66.05 : x
  2. Step 2: Convert to fraction form
    102.19/152.98 = 66.05/x
  3. Step 3: Cross multiply
    102.19x = 152.98 × 66.05
  4. Step 4: Simplify right side
    102.19x = 10,103.56
  5. Step 5: Solve for x
    x = 10,103.56/102.19
  6. Step 6: Final answer
    x = 98.87

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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.