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Finding the Fourth Proportional to 47.41, 70.52 and 46.06

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Solution

The fourth proportional to 47.41, 70.52 and 46.06 is: 68.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.41 : 70.52 = 46.06 : x
  2. Step 2: Convert to fraction form
    47.41/70.52 = 46.06/x
  3. Step 3: Cross multiply
    47.41x = 70.52 × 46.06
  4. Step 4: Simplify right side
    47.41x = 3,248.15
  5. Step 5: Solve for x
    x = 3,248.15/47.41
  6. Step 6: Final answer
    x = 68.51

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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.