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Finding the Fourth Proportional to 167.01, 230.09 and 117.74

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Solution

The fourth proportional to 167.01, 230.09 and 117.74 is: 162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.01 : 230.09 = 117.74 : x
  2. Step 2: Convert to fraction form
    167.01/230.09 = 117.74/x
  3. Step 3: Cross multiply
    167.01x = 230.09 × 117.74
  4. Step 4: Simplify right side
    167.01x = 27,089.06
  5. Step 5: Solve for x
    x = 27,089.06/167.01
  6. Step 6: Final answer
    x = 162.20

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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.