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Finding the Fourth Proportional to 71.30, 106.95 and 30.71

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Solution

The fourth proportional to 71.30, 106.95 and 30.71 is: 46.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.30 : 106.95 = 30.71 : x
  2. Step 2: Convert to fraction form
    71.30/106.95 = 30.71/x
  3. Step 3: Cross multiply
    71.30x = 106.95 × 30.71
  4. Step 4: Simplify right side
    71.30x = 3,284.43
  5. Step 5: Solve for x
    x = 3,284.43/71.30
  6. Step 6: Final answer
    x = 46.07

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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.