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Finding the Fourth Proportional to 102.21, 152.27 and 96

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Solution

The fourth proportional to 102.21, 152.27 and 96 is: 143.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.21 : 152.27 = 96 : x
  2. Step 2: Convert to fraction form
    102.21/152.27 = 96/x
  3. Step 3: Cross multiply
    102.21x = 152.27 × 96
  4. Step 4: Simplify right side
    102.21x = 14,617.44
  5. Step 5: Solve for x
    x = 14,617.44/102.21
  6. Step 6: Final answer
    x = 143.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.