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Finding the Fourth Proportional to 47.34, 70.98 and 30.22

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Solution

The fourth proportional to 47.34, 70.98 and 30.22 is: 45.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.34 : 70.98 = 30.22 : x
  2. Step 2: Convert to fraction form
    47.34/70.98 = 30.22/x
  3. Step 3: Cross multiply
    47.34x = 70.98 × 30.22
  4. Step 4: Simplify right side
    47.34x = 2,145.02
  5. Step 5: Solve for x
    x = 2,145.02/47.34
  6. Step 6: Final answer
    x = 45.31

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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.