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Finding the Fourth Proportional to 71.05, 106.48 and 30.42

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Solution

The fourth proportional to 71.05, 106.48 and 30.42 is: 45.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.05 : 106.48 = 30.42 : x
  2. Step 2: Convert to fraction form
    71.05/106.48 = 30.42/x
  3. Step 3: Cross multiply
    71.05x = 106.48 × 30.42
  4. Step 4: Simplify right side
    71.05x = 3,239.12
  5. Step 5: Solve for x
    x = 3,239.12/71.05
  6. Step 6: Final answer
    x = 45.59

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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.