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Finding the Fourth Proportional to 166.32, 229.95 and 123.21

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Solution

The fourth proportional to 166.32, 229.95 and 123.21 is: 170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.32 : 229.95 = 123.21 : x
  2. Step 2: Convert to fraction form
    166.32/229.95 = 123.21/x
  3. Step 3: Cross multiply
    166.32x = 229.95 × 123.21
  4. Step 4: Simplify right side
    166.32x = 28,332.14
  5. Step 5: Solve for x
    x = 28,332.14/166.32
  6. Step 6: Final answer
    x = 170.35

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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.