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Finding the Fourth Proportional to 103.06, 142.24 and 64.25

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Solution

The fourth proportional to 103.06, 142.24 and 64.25 is: 88.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.06 : 142.24 = 64.25 : x
  2. Step 2: Convert to fraction form
    103.06/142.24 = 64.25/x
  3. Step 3: Cross multiply
    103.06x = 142.24 × 64.25
  4. Step 4: Simplify right side
    103.06x = 9,138.92
  5. Step 5: Solve for x
    x = 9,138.92/103.06
  6. Step 6: Final answer
    x = 88.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.