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Finding the Fourth Proportional to 102.68, 153.92 and 64.14

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Solution

The fourth proportional to 102.68, 153.92 and 64.14 is: 96.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.68 : 153.92 = 64.14 : x
  2. Step 2: Convert to fraction form
    102.68/153.92 = 64.14/x
  3. Step 3: Cross multiply
    102.68x = 153.92 × 64.14
  4. Step 4: Simplify right side
    102.68x = 9,872.43
  5. Step 5: Solve for x
    x = 9,872.43/102.68
  6. Step 6: Final answer
    x = 96.15

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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.