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Finding the Fourth Proportional to 133.16, 183.76 and 77.90

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Solution

The fourth proportional to 133.16, 183.76 and 77.90 is: 107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.16 : 183.76 = 77.90 : x
  2. Step 2: Convert to fraction form
    133.16/183.76 = 77.90/x
  3. Step 3: Cross multiply
    133.16x = 183.76 × 77.90
  4. Step 4: Simplify right side
    133.16x = 14,314.90
  5. Step 5: Solve for x
    x = 14,314.90/133.16
  6. Step 6: Final answer
    x = 107.50

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Why These Related Problems?

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