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Finding the Fourth Proportional to 47.22, 70.47 and 46.00

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Solution

The fourth proportional to 47.22, 70.47 and 46.00 is: 68.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.22 : 70.47 = 46.00 : x
  2. Step 2: Convert to fraction form
    47.22/70.47 = 46.00/x
  3. Step 3: Cross multiply
    47.22x = 70.47 × 46.00
  4. Step 4: Simplify right side
    47.22x = 3,241.68
  5. Step 5: Solve for x
    x = 3,241.68/47.22
  6. Step 6: Final answer
    x = 68.65

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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.