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Finding the Fourth Proportional to 102.90, 154.09 and 64.26

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Solution

The fourth proportional to 102.90, 154.09 and 64.26 is: 96.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.90 : 154.09 = 64.26 : x
  2. Step 2: Convert to fraction form
    102.90/154.09 = 64.26/x
  3. Step 3: Cross multiply
    102.90x = 154.09 × 64.26
  4. Step 4: Simplify right side
    102.90x = 9,902.76
  5. Step 5: Solve for x
    x = 9,902.76/102.90
  6. Step 6: Final answer
    x = 96.24

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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.