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Finding the Fourth Proportional to 55.76, 83.66 and 31.72

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Solution

The fourth proportional to 55.76, 83.66 and 31.72 is: 47.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.76 : 83.66 = 31.72 : x
  2. Step 2: Convert to fraction form
    55.76/83.66 = 31.72/x
  3. Step 3: Cross multiply
    55.76x = 83.66 × 31.72
  4. Step 4: Simplify right side
    55.76x = 2,653.70
  5. Step 5: Solve for x
    x = 2,653.70/55.76
  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.