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Finding the Fourth Proportional to 72.72, 108.34 and 68.06

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Solution

The fourth proportional to 72.72, 108.34 and 68.06 is: 101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.72 : 108.34 = 68.06 : x
  2. Step 2: Convert to fraction form
    72.72/108.34 = 68.06/x
  3. Step 3: Cross multiply
    72.72x = 108.34 × 68.06
  4. Step 4: Simplify right side
    72.72x = 7,373.72
  5. Step 5: Solve for x
    x = 7,373.72/72.72
  6. Step 6: Final answer
    x = 101.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.