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Finding the Fourth Proportional to 71.05, 106.51 and 30.46

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Solution

The fourth proportional to 71.05, 106.51 and 30.46 is: 45.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.05 : 106.51 = 30.46 : x
  2. Step 2: Convert to fraction form
    71.05/106.51 = 30.46/x
  3. Step 3: Cross multiply
    71.05x = 106.51 × 30.46
  4. Step 4: Simplify right side
    71.05x = 3,244.14
  5. Step 5: Solve for x
    x = 3,244.14/71.05
  6. Step 6: Final answer
    x = 45.66

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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.