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Finding the Fourth Proportional to 122.60, 187.13 and 122.60

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Solution

The fourth proportional to 122.60, 187.13 and 122.60 is: 187.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.60 : 187.13 = 122.60 : x
  2. Step 2: Convert to fraction form
    122.60/187.13 = 122.60/x
  3. Step 3: Cross multiply
    122.60x = 187.13 × 122.60
  4. Step 4: Simplify right side
    122.60x = 22,942.14
  5. Step 5: Solve for x
    x = 22,942.14/122.60
  6. Step 6: Final answer
    x = 187.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.