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Finding the Fourth Proportional to 72.93, 109.44 and 52.07

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Solution

The fourth proportional to 72.93, 109.44 and 52.07 is: 78.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.93 : 109.44 = 52.07 : x
  2. Step 2: Convert to fraction form
    72.93/109.44 = 52.07/x
  3. Step 3: Cross multiply
    72.93x = 109.44 × 52.07
  4. Step 4: Simplify right side
    72.93x = 5,698.54
  5. Step 5: Solve for x
    x = 5,698.54/72.93
  6. Step 6: Final answer
    x = 78.14

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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.