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Finding the Fourth Proportional to 112.68, 169.64 and 97.02

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Solution

The fourth proportional to 112.68, 169.64 and 97.02 is: 146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.68 : 169.64 = 97.02 : x
  2. Step 2: Convert to fraction form
    112.68/169.64 = 97.02/x
  3. Step 3: Cross multiply
    112.68x = 169.64 × 97.02
  4. Step 4: Simplify right side
    112.68x = 16,458.47
  5. Step 5: Solve for x
    x = 16,458.47/112.68
  6. Step 6: Final answer
    x = 146.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.