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Finding the Fourth Proportional to 72.83, 108.81 and 70.13

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Solution

The fourth proportional to 72.83, 108.81 and 70.13 is: 104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.83 : 108.81 = 70.13 : x
  2. Step 2: Convert to fraction form
    72.83/108.81 = 70.13/x
  3. Step 3: Cross multiply
    72.83x = 108.81 × 70.13
  4. Step 4: Simplify right side
    72.83x = 7,631.12
  5. Step 5: Solve for x
    x = 7,631.12/72.83
  6. Step 6: Final answer
    x = 104.78

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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.