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Finding the Fourth Proportional to 118.64, 178.64 and 88.43

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Solution

The fourth proportional to 118.64, 178.64 and 88.43 is: 133.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.64 : 178.64 = 88.43 : x
  2. Step 2: Convert to fraction form
    118.64/178.64 = 88.43/x
  3. Step 3: Cross multiply
    118.64x = 178.64 × 88.43
  4. Step 4: Simplify right side
    118.64x = 15,796.13
  5. Step 5: Solve for x
    x = 15,796.13/118.64
  6. Step 6: Final answer
    x = 133.14

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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.