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Finding the Fourth Proportional to 55.24, 76.08 and 42.28

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Solution

The fourth proportional to 55.24, 76.08 and 42.28 is: 58.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.24 : 76.08 = 42.28 : x
  2. Step 2: Convert to fraction form
    55.24/76.08 = 42.28/x
  3. Step 3: Cross multiply
    55.24x = 76.08 × 42.28
  4. Step 4: Simplify right side
    55.24x = 3,216.66
  5. Step 5: Solve for x
    x = 3,216.66/55.24
  6. Step 6: Final answer
    x = 58.23

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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.