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Finding the Fourth Proportional to 142.47, 196.64 and 84.26

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Solution

The fourth proportional to 142.47, 196.64 and 84.26 is: 116.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.47 : 196.64 = 84.26 : x
  2. Step 2: Convert to fraction form
    142.47/196.64 = 84.26/x
  3. Step 3: Cross multiply
    142.47x = 196.64 × 84.26
  4. Step 4: Simplify right side
    142.47x = 16,567.48
  5. Step 5: Solve for x
    x = 16,567.48/142.47
  6. Step 6: Final answer
    x = 116.29

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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.