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Finding the Fourth Proportional to 124.40, 187.62 and 111.60

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Solution

The fourth proportional to 124.40, 187.62 and 111.60 is: 168.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.40 : 187.62 = 111.60 : x
  2. Step 2: Convert to fraction form
    124.40/187.62 = 111.60/x
  3. Step 3: Cross multiply
    124.40x = 187.62 × 111.60
  4. Step 4: Simplify right side
    124.40x = 20,938.39
  5. Step 5: Solve for x
    x = 20,938.39/124.40
  6. Step 6: Final answer
    x = 168.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.