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Finding the Fourth Proportional to 47.57, 71.71 and 46.98

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Solution

The fourth proportional to 47.57, 71.71 and 46.98 is: 70.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.57 : 71.71 = 46.98 : x
  2. Step 2: Convert to fraction form
    47.57/71.71 = 46.98/x
  3. Step 3: Cross multiply
    47.57x = 71.71 × 46.98
  4. Step 4: Simplify right side
    47.57x = 3,368.82
  5. Step 5: Solve for x
    x = 3,368.82/47.57
  6. Step 6: Final answer
    x = 70.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.