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Finding the Fourth Proportional to 97.66, 134.74 and 57.77

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Solution

The fourth proportional to 97.66, 134.74 and 57.77 is: 79.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.66 : 134.74 = 57.77 : x
  2. Step 2: Convert to fraction form
    97.66/134.74 = 57.77/x
  3. Step 3: Cross multiply
    97.66x = 134.74 × 57.77
  4. Step 4: Simplify right side
    97.66x = 7,784.48
  5. Step 5: Solve for x
    x = 7,784.48/97.66
  6. Step 6: Final answer
    x = 79.71

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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.