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Finding the Fourth Proportional to 122.40, 166.56 and 122.40

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Solution

The fourth proportional to 122.40, 166.56 and 122.40 is: 166.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.40 : 166.56 = 122.40 : x
  2. Step 2: Convert to fraction form
    122.40/166.56 = 122.40/x
  3. Step 3: Cross multiply
    122.40x = 166.56 × 122.40
  4. Step 4: Simplify right side
    122.40x = 20,386.94
  5. Step 5: Solve for x
    x = 20,386.94/122.40
  6. Step 6: Final answer
    x = 166.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.