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Finding the Fourth Proportional to 166.95, 230.44 and 101.51

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Solution

The fourth proportional to 166.95, 230.44 and 101.51 is: 140.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.95 : 230.44 = 101.51 : x
  2. Step 2: Convert to fraction form
    166.95/230.44 = 101.51/x
  3. Step 3: Cross multiply
    166.95x = 230.44 × 101.51
  4. Step 4: Simplify right side
    166.95x = 23,392.03
  5. Step 5: Solve for x
    x = 23,392.03/166.95
  6. Step 6: Final answer
    x = 140.11

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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.