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Finding the Fourth Proportional to 132.98, 183.53 and 77.76

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Solution

The fourth proportional to 132.98, 183.53 and 77.76 is: 107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.98 : 183.53 = 77.76 : x
  2. Step 2: Convert to fraction form
    132.98/183.53 = 77.76/x
  3. Step 3: Cross multiply
    132.98x = 183.53 × 77.76
  4. Step 4: Simplify right side
    132.98x = 14,271.49
  5. Step 5: Solve for x
    x = 14,271.49/132.98
  6. Step 6: Final answer
    x = 107.32

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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.