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Finding the Fourth Proportional to 55.34, 76.33 and 52.66

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Solution

The fourth proportional to 55.34, 76.33 and 52.66 is: 72.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.34 : 76.33 = 52.66 : x
  2. Step 2: Convert to fraction form
    55.34/76.33 = 52.66/x
  3. Step 3: Cross multiply
    55.34x = 76.33 × 52.66
  4. Step 4: Simplify right side
    55.34x = 4,019.54
  5. Step 5: Solve for x
    x = 4,019.54/55.34
  6. Step 6: Final answer
    x = 72.63

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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.