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Finding the Fourth Proportional to 72.86, 108.76 and 68

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Solution

The fourth proportional to 72.86, 108.76 and 68 is: 101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.86 : 108.76 = 68 : x
  2. Step 2: Convert to fraction form
    72.86/108.76 = 68/x
  3. Step 3: Cross multiply
    72.86x = 108.76 × 68
  4. Step 4: Simplify right side
    72.86x = 7,395.68
  5. Step 5: Solve for x
    x = 7,395.68/72.86
  6. Step 6: Final answer
    x = 101.51

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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.