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Finding the Fourth Proportional to 122.13, 180.45 and 122.13

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Solution

The fourth proportional to 122.13, 180.45 and 122.13 is: 180.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.13 : 180.45 = 122.13 : x
  2. Step 2: Convert to fraction form
    122.13/180.45 = 122.13/x
  3. Step 3: Cross multiply
    122.13x = 180.45 × 122.13
  4. Step 4: Simplify right side
    122.13x = 22,038.36
  5. Step 5: Solve for x
    x = 22,038.36/122.13
  6. Step 6: Final answer
    x = 180.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.