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Finding the Fourth Proportional to 61.80, 85.22 and 55.94

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Solution

The fourth proportional to 61.80, 85.22 and 55.94 is: 77.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.80 : 85.22 = 55.94 : x
  2. Step 2: Convert to fraction form
    61.80/85.22 = 55.94/x
  3. Step 3: Cross multiply
    61.80x = 85.22 × 55.94
  4. Step 4: Simplify right side
    61.80x = 4,767.21
  5. Step 5: Solve for x
    x = 4,767.21/61.80
  6. Step 6: Final answer
    x = 77.14

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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.