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Finding the Fourth Proportional to 103.68, 143.09 and 64.87

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Solution

The fourth proportional to 103.68, 143.09 and 64.87 is: 89.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.68 : 143.09 = 64.87 : x
  2. Step 2: Convert to fraction form
    103.68/143.09 = 64.87/x
  3. Step 3: Cross multiply
    103.68x = 143.09 × 64.87
  4. Step 4: Simplify right side
    103.68x = 9,282.25
  5. Step 5: Solve for x
    x = 9,282.25/103.68
  6. Step 6: Final answer
    x = 89.53

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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.