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Finding the Fourth Proportional to 55.82, 77.06 and 34.02

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Solution

The fourth proportional to 55.82, 77.06 and 34.02 is: 46.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.82 : 77.06 = 34.02 : x
  2. Step 2: Convert to fraction form
    55.82/77.06 = 34.02/x
  3. Step 3: Cross multiply
    55.82x = 77.06 × 34.02
  4. Step 4: Simplify right side
    55.82x = 2,621.67
  5. Step 5: Solve for x
    x = 2,621.67/55.82
  6. Step 6: Final answer
    x = 46.96

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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.