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Finding the Fourth Proportional to 55.85, 77.06 and 34.01

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Solution

The fourth proportional to 55.85, 77.06 and 34.01 is: 46.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.85 : 77.06 = 34.01 : x
  2. Step 2: Convert to fraction form
    55.85/77.06 = 34.01/x
  3. Step 3: Cross multiply
    55.85x = 77.06 × 34.01
  4. Step 4: Simplify right side
    55.85x = 2,620.51
  5. Step 5: Solve for x
    x = 2,620.51/55.85
  6. Step 6: Final answer
    x = 46.92

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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.