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Finding the Fourth Proportional to 167.58, 230.76 and 123.84

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Solution

The fourth proportional to 167.58, 230.76 and 123.84 is: 170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.58 : 230.76 = 123.84 : x
  2. Step 2: Convert to fraction form
    167.58/230.76 = 123.84/x
  3. Step 3: Cross multiply
    167.58x = 230.76 × 123.84
  4. Step 4: Simplify right side
    167.58x = 28,577.32
  5. Step 5: Solve for x
    x = 28,577.32/167.58
  6. Step 6: Final answer
    x = 170.53

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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.