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Finding the Fourth Proportional to 142.68, 196.95 and 84.51

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Solution

The fourth proportional to 142.68, 196.95 and 84.51 is: 116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.68 : 196.95 = 84.51 : x
  2. Step 2: Convert to fraction form
    142.68/196.95 = 84.51/x
  3. Step 3: Cross multiply
    142.68x = 196.95 × 84.51
  4. Step 4: Simplify right side
    142.68x = 16,644.24
  5. Step 5: Solve for x
    x = 16,644.24/142.68
  6. Step 6: Final answer
    x = 116.65

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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.