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Finding the Fourth Proportional to 55.84, 83.68 and 31.76

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Solution

The fourth proportional to 55.84, 83.68 and 31.76 is: 47.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.84 : 83.68 = 31.76 : x
  2. Step 2: Convert to fraction form
    55.84/83.68 = 31.76/x
  3. Step 3: Cross multiply
    55.84x = 83.68 × 31.76
  4. Step 4: Simplify right side
    55.84x = 2,657.68
  5. Step 5: Solve for x
    x = 2,657.68/55.84
  6. Step 6: Final answer
    x = 47.59

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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.