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Finding the Fourth Proportional to 55.46, 83.20 and 49.66

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Solution

The fourth proportional to 55.46, 83.20 and 49.66 is: 74.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.46 : 83.20 = 49.66 : x
  2. Step 2: Convert to fraction form
    55.46/83.20 = 49.66/x
  3. Step 3: Cross multiply
    55.46x = 83.20 × 49.66
  4. Step 4: Simplify right side
    55.46x = 4,131.71
  5. Step 5: Solve for x
    x = 4,131.71/55.46
  6. Step 6: Final answer
    x = 74.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.