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Finding the Fourth Proportional to 47.02, 70.17 and 43.60

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Solution

The fourth proportional to 47.02, 70.17 and 43.60 is: 65.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.02 : 70.17 = 43.60 : x
  2. Step 2: Convert to fraction form
    47.02/70.17 = 43.60/x
  3. Step 3: Cross multiply
    47.02x = 70.17 × 43.60
  4. Step 4: Simplify right side
    47.02x = 3,059.41
  5. Step 5: Solve for x
    x = 3,059.41/47.02
  6. Step 6: Final answer
    x = 65.07

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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.