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Finding the Fourth Proportional to 55.62, 76.75 and 32.29

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Solution

The fourth proportional to 55.62, 76.75 and 32.29 is: 44.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.62 : 76.75 = 32.29 : x
  2. Step 2: Convert to fraction form
    55.62/76.75 = 32.29/x
  3. Step 3: Cross multiply
    55.62x = 76.75 × 32.29
  4. Step 4: Simplify right side
    55.62x = 2,478.10
  5. Step 5: Solve for x
    x = 2,478.10/55.62
  6. Step 6: Final answer
    x = 44.56

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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.