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Finding the Fourth Proportional to 55.24, 76.25 and 39.70

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Solution

The fourth proportional to 55.24, 76.25 and 39.70 is: 54.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.24 : 76.25 = 39.70 : x
  2. Step 2: Convert to fraction form
    55.24/76.25 = 39.70/x
  3. Step 3: Cross multiply
    55.24x = 76.25 × 39.70
  4. Step 4: Simplify right side
    55.24x = 3,027.13
  5. Step 5: Solve for x
    x = 3,027.13/55.24
  6. Step 6: Final answer
    x = 54.80

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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.