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Finding the Fourth Proportional to 47.20, 70.86 and 32.02

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Solution

The fourth proportional to 47.20, 70.86 and 32.02 is: 48.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.20 : 70.86 = 32.02 : x
  2. Step 2: Convert to fraction form
    47.20/70.86 = 32.02/x
  3. Step 3: Cross multiply
    47.20x = 70.86 × 32.02
  4. Step 4: Simplify right side
    47.20x = 2,268.94
  5. Step 5: Solve for x
    x = 2,268.94/47.20
  6. Step 6: Final answer
    x = 48.07

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Why These Related Problems?

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