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Finding the Fourth Proportional to 76.48, 105.69 and 55.78

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Solution

The fourth proportional to 76.48, 105.69 and 55.78 is: 77.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.48 : 105.69 = 55.78 : x
  2. Step 2: Convert to fraction form
    76.48/105.69 = 55.78/x
  3. Step 3: Cross multiply
    76.48x = 105.69 × 55.78
  4. Step 4: Simplify right side
    76.48x = 5,895.39
  5. Step 5: Solve for x
    x = 5,895.39/76.48
  6. Step 6: Final answer
    x = 77.08

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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.