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Finding the Fourth Proportional to 47.24, 70.78 and 31.01

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Solution

The fourth proportional to 47.24, 70.78 and 31.01 is: 46.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.24 : 70.78 = 31.01 : x
  2. Step 2: Convert to fraction form
    47.24/70.78 = 31.01/x
  3. Step 3: Cross multiply
    47.24x = 70.78 × 31.01
  4. Step 4: Simplify right side
    47.24x = 2,194.38
  5. Step 5: Solve for x
    x = 2,194.38/47.24
  6. Step 6: Final answer
    x = 46.46

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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.