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Finding the Fourth Proportional to 118.24, 163.31 and 117.32

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Solution

The fourth proportional to 118.24, 163.31 and 117.32 is: 162.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.24 : 163.31 = 117.32 : x
  2. Step 2: Convert to fraction form
    118.24/163.31 = 117.32/x
  3. Step 3: Cross multiply
    118.24x = 163.31 × 117.32
  4. Step 4: Simplify right side
    118.24x = 19,159.53
  5. Step 5: Solve for x
    x = 19,159.53/118.24
  6. Step 6: Final answer
    x = 162.04

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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.