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Finding the Fourth Proportional to 102.96, 154.14 and 64.33

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Solution

The fourth proportional to 102.96, 154.14 and 64.33 is: 96.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.96 : 154.14 = 64.33 : x
  2. Step 2: Convert to fraction form
    102.96/154.14 = 64.33/x
  3. Step 3: Cross multiply
    102.96x = 154.14 × 64.33
  4. Step 4: Simplify right side
    102.96x = 9,915.83
  5. Step 5: Solve for x
    x = 9,915.83/102.96
  6. Step 6: Final answer
    x = 96.31

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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.