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Finding the Fourth Proportional to 133.13, 183.71 and 77.87

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Solution

The fourth proportional to 133.13, 183.71 and 77.87 is: 107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.13 : 183.71 = 77.87 : x
  2. Step 2: Convert to fraction form
    133.13/183.71 = 77.87/x
  3. Step 3: Cross multiply
    133.13x = 183.71 × 77.87
  4. Step 4: Simplify right side
    133.13x = 14,304.19
  5. Step 5: Solve for x
    x = 14,304.19/133.13
  6. Step 6: Final answer
    x = 107.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.