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Finding the Fourth Proportional to 55.81, 77.07 and 48.99

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Solution

The fourth proportional to 55.81, 77.07 and 48.99 is: 67.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.81 : 77.07 = 48.99 : x
  2. Step 2: Convert to fraction form
    55.81/77.07 = 48.99/x
  3. Step 3: Cross multiply
    55.81x = 77.07 × 48.99
  4. Step 4: Simplify right side
    55.81x = 3,775.66
  5. Step 5: Solve for x
    x = 3,775.66/55.81
  6. Step 6: Final answer
    x = 67.65

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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.