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Finding the Fourth Proportional to 55.11, 82.08 and 52.47

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Solution

The fourth proportional to 55.11, 82.08 and 52.47 is: 78.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.11 : 82.08 = 52.47 : x
  2. Step 2: Convert to fraction form
    55.11/82.08 = 52.47/x
  3. Step 3: Cross multiply
    55.11x = 82.08 × 52.47
  4. Step 4: Simplify right side
    55.11x = 4,306.74
  5. Step 5: Solve for x
    x = 4,306.74/55.11
  6. Step 6: Final answer
    x = 78.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.