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Finding the Fourth Proportional to 132.71, 183.16 and 97.77

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Solution

The fourth proportional to 132.71, 183.16 and 97.77 is: 134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.71 : 183.16 = 97.77 : x
  2. Step 2: Convert to fraction form
    132.71/183.16 = 97.77/x
  3. Step 3: Cross multiply
    132.71x = 183.16 × 97.77
  4. Step 4: Simplify right side
    132.71x = 17,908.36
  5. Step 5: Solve for x
    x = 17,908.36/132.71
  6. Step 6: Final answer
    x = 134.95

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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.