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Finding the Fourth Proportional to 96.09, 132.59 and 56.77

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Solution

The fourth proportional to 96.09, 132.59 and 56.77 is: 78.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.09 : 132.59 = 56.77 : x
  2. Step 2: Convert to fraction form
    96.09/132.59 = 56.77/x
  3. Step 3: Cross multiply
    96.09x = 132.59 × 56.77
  4. Step 4: Simplify right side
    96.09x = 7,526.19
  5. Step 5: Solve for x
    x = 7,526.19/96.09
  6. Step 6: Final answer
    x = 78.33

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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.