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Finding the Fourth Proportional to 46.74, 70.14 and 22.71

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Solution

The fourth proportional to 46.74, 70.14 and 22.71 is: 34.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.74 : 70.14 = 22.71 : x
  2. Step 2: Convert to fraction form
    46.74/70.14 = 22.71/x
  3. Step 3: Cross multiply
    46.74x = 70.14 × 22.71
  4. Step 4: Simplify right side
    46.74x = 1,592.88
  5. Step 5: Solve for x
    x = 1,592.88/46.74
  6. Step 6: Final answer
    x = 34.08

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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.