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Finding the Fourth Proportional to 47.29, 70.86 and 31.01

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Solution

The fourth proportional to 47.29, 70.86 and 31.01 is: 46.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.29 : 70.86 = 31.01 : x
  2. Step 2: Convert to fraction form
    47.29/70.86 = 31.01/x
  3. Step 3: Cross multiply
    47.29x = 70.86 × 31.01
  4. Step 4: Simplify right side
    47.29x = 2,197.66
  5. Step 5: Solve for x
    x = 2,197.66/47.29
  6. Step 6: Final answer
    x = 46.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.