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Finding the Fourth Proportional to 71.32, 106.98 and 30.76

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Solution

The fourth proportional to 71.32, 106.98 and 30.76 is: 46.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.32 : 106.98 = 30.76 : x
  2. Step 2: Convert to fraction form
    71.32/106.98 = 30.76/x
  3. Step 3: Cross multiply
    71.32x = 106.98 × 30.76
  4. Step 4: Simplify right side
    71.32x = 3,290.70
  5. Step 5: Solve for x
    x = 3,290.70/71.32
  6. Step 6: Final answer
    x = 46.14

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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.