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Finding the Fourth Proportional to 131.42, 196.02 and 123.93

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Solution

The fourth proportional to 131.42, 196.02 and 123.93 is: 184.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.42 : 196.02 = 123.93 : x
  2. Step 2: Convert to fraction form
    131.42/196.02 = 123.93/x
  3. Step 3: Cross multiply
    131.42x = 196.02 × 123.93
  4. Step 4: Simplify right side
    131.42x = 24,292.76
  5. Step 5: Solve for x
    x = 24,292.76/131.42
  6. Step 6: Final answer
    x = 184.84

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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.