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Finding the Fourth Proportional to 72.40, 107.84 and 72.16

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Solution

The fourth proportional to 72.40, 107.84 and 72.16 is: 107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.40 : 107.84 = 72.16 : x
  2. Step 2: Convert to fraction form
    72.40/107.84 = 72.16/x
  3. Step 3: Cross multiply
    72.40x = 107.84 × 72.16
  4. Step 4: Simplify right side
    72.40x = 7,781.73
  5. Step 5: Solve for x
    x = 7,781.73/72.40
  6. Step 6: Final answer
    x = 107.48

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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.