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Finding the Fourth Proportional to 55.14, 76.08 and 42.24

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Solution

The fourth proportional to 55.14, 76.08 and 42.24 is: 58.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.14 : 76.08 = 42.24 : x
  2. Step 2: Convert to fraction form
    55.14/76.08 = 42.24/x
  3. Step 3: Cross multiply
    55.14x = 76.08 × 42.24
  4. Step 4: Simplify right side
    55.14x = 3,213.62
  5. Step 5: Solve for x
    x = 3,213.62/55.14
  6. Step 6: Final answer
    x = 58.28

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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.