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Finding the Fourth Proportional to 47.42, 71.10 and 30.28

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Solution

The fourth proportional to 47.42, 71.10 and 30.28 is: 45.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.42 : 71.10 = 30.28 : x
  2. Step 2: Convert to fraction form
    47.42/71.10 = 30.28/x
  3. Step 3: Cross multiply
    47.42x = 71.10 × 30.28
  4. Step 4: Simplify right side
    47.42x = 2,152.91
  5. Step 5: Solve for x
    x = 2,152.91/47.42
  6. Step 6: Final answer
    x = 45.40

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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.