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Finding the Fourth Proportional to 77.57, 115.80 and 65.42

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Solution

The fourth proportional to 77.57, 115.80 and 65.42 is: 97.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.57 : 115.80 = 65.42 : x
  2. Step 2: Convert to fraction form
    77.57/115.80 = 65.42/x
  3. Step 3: Cross multiply
    77.57x = 115.80 × 65.42
  4. Step 4: Simplify right side
    77.57x = 7,575.06
  5. Step 5: Solve for x
    x = 7,575.06/77.57
  6. Step 6: Final answer
    x = 97.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.