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Finding the Fourth Proportional to 122.40, 174.60 and 122.40

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Solution

The fourth proportional to 122.40, 174.60 and 122.40 is: 174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.40 : 174.60 = 122.40 : x
  2. Step 2: Convert to fraction form
    122.40/174.60 = 122.40/x
  3. Step 3: Cross multiply
    122.40x = 174.60 × 122.40
  4. Step 4: Simplify right side
    122.40x = 21,371.04
  5. Step 5: Solve for x
    x = 21,371.04/122.40
  6. Step 6: Final answer
    x = 174.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.