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Finding the Fourth Proportional to 62.29, 93.48 and 21.71

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Solution

The fourth proportional to 62.29, 93.48 and 21.71 is: 32.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.29 : 93.48 = 21.71 : x
  2. Step 2: Convert to fraction form
    62.29/93.48 = 21.71/x
  3. Step 3: Cross multiply
    62.29x = 93.48 × 21.71
  4. Step 4: Simplify right side
    62.29x = 2,029.80
  5. Step 5: Solve for x
    x = 2,029.80/62.29
  6. Step 6: Final answer
    x = 32.58

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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.