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Finding the Fourth Proportional to 103.13, 142.28 and 66.28

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Solution

The fourth proportional to 103.13, 142.28 and 66.28 is: 91.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.13 : 142.28 = 66.28 : x
  2. Step 2: Convert to fraction form
    103.13/142.28 = 66.28/x
  3. Step 3: Cross multiply
    103.13x = 142.28 × 66.28
  4. Step 4: Simplify right side
    103.13x = 9,429.28
  5. Step 5: Solve for x
    x = 9,429.28/103.13
  6. Step 6: Final answer
    x = 91.43

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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.