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Finding the Fourth Proportional to 55.16, 76.12 and 31.84

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Solution

The fourth proportional to 55.16, 76.12 and 31.84 is: 43.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.16 : 76.12 = 31.84 : x
  2. Step 2: Convert to fraction form
    55.16/76.12 = 31.84/x
  3. Step 3: Cross multiply
    55.16x = 76.12 × 31.84
  4. Step 4: Simplify right side
    55.16x = 2,423.85
  5. Step 5: Solve for x
    x = 2,423.85/55.16
  6. Step 6: Final answer
    x = 43.95

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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.