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Finding the Fourth Proportional to 103.69, 143.03 and 64.34

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Solution

The fourth proportional to 103.69, 143.03 and 64.34 is: 88.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.69 : 143.03 = 64.34 : x
  2. Step 2: Convert to fraction form
    103.69/143.03 = 64.34/x
  3. Step 3: Cross multiply
    103.69x = 143.03 × 64.34
  4. Step 4: Simplify right side
    103.69x = 9,202.55
  5. Step 5: Solve for x
    x = 9,202.55/103.69
  6. Step 6: Final answer
    x = 88.75

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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.