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Finding the Fourth Proportional to 47.40, 70.82 and 42.32

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Solution

The fourth proportional to 47.40, 70.82 and 42.32 is: 63.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.40 : 70.82 = 42.32 : x
  2. Step 2: Convert to fraction form
    47.40/70.82 = 42.32/x
  3. Step 3: Cross multiply
    47.40x = 70.82 × 42.32
  4. Step 4: Simplify right side
    47.40x = 2,997.10
  5. Step 5: Solve for x
    x = 2,997.10/47.40
  6. Step 6: Final answer
    x = 63.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.