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Finding the Fourth Proportional to 55.34, 76.39 and 42.23

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Solution

The fourth proportional to 55.34, 76.39 and 42.23 is: 58.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.34 : 76.39 = 42.23 : x
  2. Step 2: Convert to fraction form
    55.34/76.39 = 42.23/x
  3. Step 3: Cross multiply
    55.34x = 76.39 × 42.23
  4. Step 4: Simplify right side
    55.34x = 3,225.91
  5. Step 5: Solve for x
    x = 3,225.91/55.34
  6. Step 6: Final answer
    x = 58.29

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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.