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Finding the Fourth Proportional to 131.75, 196.74 and 124.16

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Solution

The fourth proportional to 131.75, 196.74 and 124.16 is: 185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.75 : 196.74 = 124.16 : x
  2. Step 2: Convert to fraction form
    131.75/196.74 = 124.16/x
  3. Step 3: Cross multiply
    131.75x = 196.74 × 124.16
  4. Step 4: Simplify right side
    131.75x = 24,426.25
  5. Step 5: Solve for x
    x = 24,426.25/131.75
  6. Step 6: Final answer
    x = 185.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.