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Finding the Fourth Proportional to 55.35, 83.02 and 31.29

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Solution

The fourth proportional to 55.35, 83.02 and 31.29 is: 46.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.35 : 83.02 = 31.29 : x
  2. Step 2: Convert to fraction form
    55.35/83.02 = 31.29/x
  3. Step 3: Cross multiply
    55.35x = 83.02 × 31.29
  4. Step 4: Simplify right side
    55.35x = 2,597.70
  5. Step 5: Solve for x
    x = 2,597.70/55.35
  6. Step 6: Final answer
    x = 46.93

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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.