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Finding the Fourth Proportional to 171.42, 236.64 and 116.16

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Solution

The fourth proportional to 171.42, 236.64 and 116.16 is: 160.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.42 : 236.64 = 116.16 : x
  2. Step 2: Convert to fraction form
    171.42/236.64 = 116.16/x
  3. Step 3: Cross multiply
    171.42x = 236.64 × 116.16
  4. Step 4: Simplify right side
    171.42x = 27,488.10
  5. Step 5: Solve for x
    x = 27,488.10/171.42
  6. Step 6: Final answer
    x = 160.36

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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.