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Finding the Fourth Proportional to 72.83, 109.24 and 47.14

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Solution

The fourth proportional to 72.83, 109.24 and 47.14 is: 70.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.83 : 109.24 = 47.14 : x
  2. Step 2: Convert to fraction form
    72.83/109.24 = 47.14/x
  3. Step 3: Cross multiply
    72.83x = 109.24 × 47.14
  4. Step 4: Simplify right side
    72.83x = 5,149.18
  5. Step 5: Solve for x
    x = 5,149.18/72.83
  6. Step 6: Final answer
    x = 70.70

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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.