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Finding the Fourth Proportional to 118.08, 162.45 and 97.11

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Solution

The fourth proportional to 118.08, 162.45 and 97.11 is: 133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.08 : 162.45 = 97.11 : x
  2. Step 2: Convert to fraction form
    118.08/162.45 = 97.11/x
  3. Step 3: Cross multiply
    118.08x = 162.45 × 97.11
  4. Step 4: Simplify right side
    118.08x = 15,775.52
  5. Step 5: Solve for x
    x = 15,775.52/118.08
  6. Step 6: Final answer
    x = 133.60

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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.