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Finding the Fourth Proportional to 72.94, 109.59 and 70.81

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Solution

The fourth proportional to 72.94, 109.59 and 70.81 is: 106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.94 : 109.59 = 70.81 : x
  2. Step 2: Convert to fraction form
    72.94/109.59 = 70.81/x
  3. Step 3: Cross multiply
    72.94x = 109.59 × 70.81
  4. Step 4: Simplify right side
    72.94x = 7,760.07
  5. Step 5: Solve for x
    x = 7,760.07/72.94
  6. Step 6: Final answer
    x = 106.39

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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.